Sophia unit 3

This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. Male Female Total Army 24 10 34 Navy 27 8 35 Marine Corps 5 1 6 Air Force 146 20 Total 70 25 95 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)

An IBD/TIPP poll conducted to learn about attitudes toward investment and retirement asked male and female respondents how important they felt level of risk was in choosing a retirement investment. The following survey result was construed from the data of 500 respondents. "Important" means the respondent said level of risk was either important or very important. Important Not Important Total Male 150 132 282 Female 210 108 318 Total 360 240 500 a. Construct a probability table. b. What is the probability that a survey respondent will say level of risk is important? C. What is the probability a male survey respondent will say level of risk is important? d. What is the probability a female survey respondent will say level of risk is important? e. Do male and female attitudes toward risk differ? Hint: check if the level of risk is independent to the gender of the respondent.

2. Sixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled. a) Calculate the probability that at most 2 out of the 15 randomly selected students took French. b) Of the 15 students, how many do you expect to take French. [1]

According to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.

The U.S. Census Bureau serves as the leading source of quantitative dataabout the nation's people and economy. The following crosstabulationshows the number of households (1000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included. a. Develop a joint probability table.b. What is the probability of the head of one of these householdshaving a master's degree or more education?c. What is the probability of a household headed by someone with ahigh school diploma earning $100,000 or more: d. What is the probability of one of these households having anincome below $25,000?e. What is the probability of a household headed by someone with abachelor's degree earning less than $25,000?f. Is household income independent of educational level?

In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Students Given Four Quarters Students Given a $1 Bill Purchased Gum 30 Kept the Money 19 13 26 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) c. What do the preceding results suggest? OA. A student given four quarters is more likely to have kept the money. OB. A student given four quarters is more likely to have spent the money than a student given a $1 bill. OC. A student given four quarters is more likely to have kept the money than a student given a…

In the July 29, 2001, issue of The Journal News (Hamilton, Ohio), Lynn Elber of the Associated Press reported that “while 40 percent of American families own a television set with a V-chip installed to block designated programs with sex and violence, only 17 percent of those parents use the device.”(a)Use the report’s results to find an estimate of the probability that a randomly selected American family has used a V-chip to block programs containing sex and violence.find P(V and U)According to the report, more than 50 percent of parents have used the TV rating system (TV-14, etc.) to control their children’s TV viewing. How does this compare to the percentage using the V-chip?

Question 6 A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major. Management Marketing Others Total Gender Male 30 80 Female 70 120 Total 100 200 40 30 70 Selected Answer: 0.5 10 20 30 What is the probability of selecting an individual who is majoring in Management and Marketing? P(Management Marketing)? Assume no double-majors.

2. A city had an unemployment rate of 7%. The mayor pledged to lower this figure and supported programs to decrease unemployment. A group of citizens wanted to test with 0.032 label of significance if the unemployment rate had actually decreased, so they obtained a random sample of 500 citizens to see what proportion of the sample was unemployed. Only 32 citizens in the above sample is still unemployed. What is the probability of Type II error if the actual unemployment rate is 6.5% please don't use software everything needs to be done by hand. Explain because I don't understand my professor. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.

Brain tumors in children are rare: the base rate is only about 1/10,000. A child with a tumor is very likely to have occasional headaches: 99 out of 100 do. But there are many other reasons a child can have a headache: of those who do not have a tumor, 1 in 10 have occasional headaches. 1. Given that a child has occasional headaches (H), what it the probability that he or she has a brain tumor (T)? Show your work. 2. Name a behavioral bias that may occur when estimating the probability that your child has a brain tumor. Would this bias lead to under-or-overestimate that probability? Explain. 3. Among children with headaches (H), 999/1000 will ultimately be fine (F). Suppose that a physician using a simple test can correctly determine whether the child is fine or not in 95/100 of children with headaches. Given that the doctor after performing the test gives the patient a green light (G), what is the probability that the child really will be fine? Show your work.. Page 1 of 1 175 words…

An electronics company gives a warrantee on a $150 eReader that covers accidentaldamage (AD) and theft (T). Due to the costs associated with fixing an eReader, it ischeaper for the company to credit the buyer the full price of the product to purchaseanother one. In any given year, there is a 5.1% chance that an AD claim is filed. Assumeonly one claim can be filed (not one of each type).If a customer reports an eReader as stolen, the company will credit the customer 80% ofthe product's full price. In a given year, there is a 3.5% chance that a T claim is filed.If the warrantee costs $15.95 for one year, what is the company's expected financialgain/loss on each contract?(NOTE: Remember that a customer will pay for the warrantee up-front, whether or not aclaim is filed.)

QUESTION :- An insurance company would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is 0.05 if there is no security system and 0.01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that the dollar loss from a theft is $10,000 and that the insurance company is risk neutral and the renter would be willing to pay more than the expected loss to insure against the loss of theft. For a security system to be effective the renter must turn it on whenever he or she leaves the apartment. Suppose it costs the renter $10 per year in expended effort to turn on the alarm system. What is the…

4. Suppose that we randomly sample children in schools, and we ask each sampled child how many kids are in their family, including themselves. Assume for the sake of this problem that families are stable across time and that no families have more than 4 children. (a) Suppose that, in the population, 25% of women have 1, 2, 3, and 4 children, respectively. If we randomly sample children, what is the probability that we will choose a child from each family size 1-4?

Question 2: Find the probability of getting a number less than 5 when a dice is rolled by using the probability formula.

The following table shows the results of a survey conducted by Impulse Research for the Downtown Cookie Company. In the survey, 1050 adults were asked to identify their favorite cookie. a. b. Favorite Cookie Chocolate chip Peanut butter Oatmeal Sugar/shortbread Other Total Frequency 483 231 147 126 63 1050 Determine the probability distribution. What is the probability of selecting a person whose favorite cookie was chocolate chip? C. What is the probability of selecting a person whose favorite cookie was not chocolate chip? d. What is the probability of selecting a person whose favorite cookie was chocolate chip or a person whose favorite cookie was peanut butter?

A health care provider classifies its customers by their housing situation and whether they have health insurance coverage. The market research department has gathered data from a random sample of 741 customers. Health Care Consumers Housing Situation Has Health Insurance Coverage Rent Own Yes No 201 277 91 172 Copy Data Step 2 of 2: What is the probability that a customer has health insurance coverage and rents their home? Round your answer to four decimal places, if necessary.

31 You see a TV commercial that states that “seven out of ten physicians surveyed prefer the ingredients in pain reliever X to plain aspirin.”  You write the company because you are curious about the survey, and to your amazement, you find that the survey was of exactly ten physicians.  Suppose the population of physicians was indifferent as to the advertised product and plain aspirin, that is, 50% preferred aspirin and 50% preferred the advertised product.  What is the probability that a survey of ten randomly selected physicians would find seven or more who preferred the advertised product?                                                         a 0.0619                 b 0.1031                 c 0.1719                 d 0.2265

One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female.a)Draw a completed contingency table, showing totals, to illustrate the information above. b)If one person was randomly selected, what is the probability that the person is:(i) female? (ii) female or responded “no”? (iii) female given that they responded “no”?

Only typed answer

Static Bayesian Games] We consider a games with 2 players. Player 1 has only asingle type; however, Player 2 can have two types I and D, each with probability 50%. Bothplayers have two actions available to them. The game has the following payoffs (P1 is the rowplayer, P2 the column player):

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6. Market research has shown that 90% of Summer Cruise customers are satisfied with their service. A random sample of 13 persons were sampled. a) Calculate the probability that at most 2 customers are satisfied with their service. b) If 450 customers were sampled, determine the number expected to be satisfied with their service.

The probability that it will rain on any given day is 0.20, and the probability is independent from day to day. You are trying to decide whether or not to make a tee time tomorrow to play golf. This requires a commitment on your part of turning down, say, movie tickets in favor of playing golf. If you accept the tickets, you also make the commitment not to go golfing. There is a weather forecast that signals whether it will rain tomorrow or not. There is a 0.80 probability that it rains when there is a "rainy" forecast and a 0.125 probability of rain when there is a "sunny" forecast. The overall probability of getting a "rainy" forecast is 0.111. Assume you are risk neutral. You place the following monetary values on the potential outcomes: a sunny day at the golf course a rainy day at the movies a rainy day at home $95 $20 -$18 a sunny day at $1 the movies a. If you have no weather forecast, evaluate the expected value of planning to golf and planning to go to the movies. What is the…

Of the travelers arriving at a small airport, 40 % fly on major airlines, 40 % fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on the major airlines, 80 % are traveling for business reasons, whereas 60% of those arriving on private planes and 50% of those arriving on the other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at the airport. Step 1 of 3: What is the probability that the person randomly selected is traveling on business? Round your answer to two decimal places, if necessary.

Please all solve the question

A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement BnS = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P(B) = 0.20, P(S) = 0.40, and P(BS) = 0.12. a. What is the probability of an individual's purchasing the product given that the individual recalls seeing the advertisement (to 1 decimal)? Does seeing the advertisement increase the probability that the individual will purchase the product? - Select your answer - As a decision maker, would you recommend continuing the advertisement (assuming that the cost is reasonable)? - Select your answer - + b. Assume that individuals who do not purchase the company's soap product buy from its competitors. What would be your estimate of the company's market share (to the…

For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table.   Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea. not manufactured in Japan. is a white car, given that it was manufactured in America. Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. Are the events ‘Korea’ and ‘Black’ Independent? Justify your response