Here is a table showing all 52 cards in a standard deck.  Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions.     (a) What is the probability that the card drawn is a face card?   (b) What is the probability that the card drawn is a diamond?   (c) What is the probability that the card drawn is a face card or a diamond?

Q: You are given 2 to 1 odds against tossing three tails with three coins, meaning you win $2 if you…

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Q: probability 1/3. You flip this coin four times in a row. Let A be the event that you get exactly two…

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Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: Answer:- Given data table is,    Passed  Failed  Total  Male 52 4 56 Female  78 6 84 Total…

Q: Let Y be a continuous random variable with cumulative distribution function: B A C C D D E √2 In √√2…

A: We have to find 75th percentile of Y :

Q: If a point is pick at random, what is the probability that it will be in the shaded section.

A: Here given square inside a circle . Square have value 10 unit for each side . Here from given  value…

Q: The mean of the frequency distribution is (Type an integer or a decimal. Round to the nearest tenth…

A: The given data is as follows, Class Frequency 624 12 537 6 597 11 584 16 581 5 605 7…

Q: A random variable X has a cdf given by 0, x ) (c) Find P(X X >).

A: As per our guidelines I can solve only first 3 subparts. Kindly post the remaining subparts again…

Q: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A: Mean (u) = 7.45 SD (o) = 3.6 P(x < 7 or x > 9) = ?

Q: Darrin is putting together gift bags with two gifts in each. The selections of gifts no he can…

A: 10) Answer:- Given data table is,    Stickers  key chain  Candy Total  Gift card 4 8 22 34…

Q: Subtract 10 from each item in the given sample, and compute the mean and standard deviation of the…

A: We have given that,  19, 13, 49, 19, 28, 26, 48 After subtract 10 from each sample then the new…

Q: Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitations…

A: Mean(μ)=85 standard deviation(σ)=2 Empirical rules:1) P(μ-σ<X<μ+σ)=64%2)…

Q: a) What are the sample standard deviations? SA = (Do not round until the final answer. Then round to…

A: Sample A:  9,5,8,4,8 sample size [n] =5 ____________________________________ Sample B: 8,4,5,8,3,5,2…

Q: Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to…

A: The cost of booking in advance for x guests is 50x, and the cost of not booking for y guests who…

Q: You are given the following definition for a present value random variable, for 0 ≤ Tx E(Y)]. You…

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Q: For a single sampling plan using MIL-STD, code letter C, normal inspection, and AQL = 25…

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Q: - Suppose you randomly select a sample of 16 observations from a population with μ a= 2 You find=9.…

A: σ=2x=9n=16μ=11

Q: Part (a): Event A is “the total is 10” (i.e., the sum of the results of the two die rolls is 10).…

A: Part(a) (i). Event A is “the total is 10” so the favorable event : {(5,5)}:1Numbers Hence,…

Q: Here's a question we would want your feedback on: To what extent can Alicia mix and match her four…

A: we can use the concept of combinations. Alicia has 4 shirts, 9 pants, 4 purses, 5 shoes, and 5 pairs…

Q: On a certain test, the mean is 100 with a standard deviation of 15. The results come very close to…

A: According to the given information, we have Mean = 100 Standard deviation = 15

Q: How many different meals are possible if Chris must serve at least one of Artichoke, Eggplant, and…

A: Chris (they/them) is planning a meal for a party. The meal will include an appetizer, a main course,…

Q: Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.…

A: It is required to obtain the best fitted linear model, and make predictions using it.

Q: The numbers of blocked intrusion attempts on each day during the first week of the month were 56,…

A: Given that : The numbers of blocked intrusion attempts on each day during the first week of the…

Q: (a) Using the binomial distribution, what is the probability that exactly 3 wells have the impurity,…

A: It is conjectured that an impurity exists in 30% of all drinking wells in a certain rural community.…

Q: The table shows relative frequencies for red-green color blindness, where M represents "person is…

A: According to the given information, we have The table is given which shows the relative frequencies.

Q: a) What are the sample standard deviations? SA = (Do not round until the final answer. Then round to…

A: We have two data set XA: 9,5,8,4,8  XB: 8,4,5,8,3,5,2 To find sample standard deviations of data set…

Q: A trade magazine routinely checks the drive-through service times of fast-food restaurants. An 80%…

A: We have given that a trade magazine routinely checks the drive-through service times of fast-food…

Q: Consider a six-sided die with which the number 5 is two times as likely to be rolled as any other…

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Q: Compute the probability of 4 successes in a random sample of size n=10 obtained from a population of…

A: Population size (N)=40  Sample size (n)=10 Number of success (X)=21  We have to find the probability…

Q: 2 (x; -m)² GIVEN THE VARIACE V[x] = Ei pi WHERE M = E[X] = Eixipi; SHOW EXPRESSION 2 V[x] = E[X²]-…

A: Given that V(X) = ∑ipi(xi-M)2--------(1) M = E(X) = ∑ixipi-------(2)

Q: PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the…

A:

Q: The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In…

A: The alternative hypothesis Ha: p > 0.5 and given p-values are 0.999,0.5,0.95,0.05,0.01,0.001

Q: The company proposes a new sampling to improve its quality control capability. The following…

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Q: 10.2% of the population is 65 or older. Find the probability that the following number of persons…

A: According to the given information, we have Sample size, n = 20

Q: Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their…

A: The data set of room costs are:- X :- 95, 100, 116, 168, 188, 179, 107, 250, 131, 130, 114, 265…

Q: Find the percent of the total area under the standard normal curve between the following z-scores. z…

A: According to the given information, we have Z Scores are -1.00 and -0.50

Q: Suppose that after 10 years of service, 36% of computers have problems with motherboards (MB), 42%…

A: After 10 years service ,  36% of computers have problems with (MB)  P(MB) = 36% = 36/100 = 0.36  42%…

Q: Imagine we are interested in the mean and variance of variable Y = g(X) with fixed function g(X),…

A: Given that Y=gX≈gμx+X-μxg'μx+12X-μx2g''μx Here, X-μx and X-μx2 are the first and second polynomial…

Q: the scores on the SAT form a normal distribution, with mean =500 and SD=100. What is the probability…

A: X~N( μ , ?)   μ=500 , ?=100   Z-score =( x - μ )/?

Q: The probability that exactly 2 of the 12 children under 18 years old lived with their father only is…

A: A study determined that 6% of children under 18 years old lived with their father only.. n =12  Here…

Q: Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their…

A: K=3---standard deviations Total number=12

Q: What is the probability of flipping a coin three times and getting two heads and one tail, assuming…

A: Assuming a fair coin, the probability of flipping two heads and one tail in three coin tosses can be…

Q: When guessing the birthdays of two friends, getting exactly one right, if you know the first friend…

A: you know the first friend was born in a leap year and the second friend wasn’t. Assume birthdays are…

Q: Ville and Kalle ride separate buses to the city center in order to meet. Their buses start at the…

A: Ville and Kalle ride separate buses to the city center in order to meet. Their buses start at the…

Q: The following table represents the highest educational attainment of all adult residents in a…

A: According to the given information, we have Given that the table represents the highest educational…

Q: Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue…

A: Solution:-   To determine which event is more likely, we need to calculate the probability of each…

Q: There has been concern for some time that nitrite present in cured meats may result in the formation…

A: There are 6 subjects who have been asked to avoid cured meats for the previous week. They are given…

Q: Pepsi is rumning a sales promotion in which 12% of all bottles have a "FREE" under the cap. What is…

A: According to the given information, we have Given that pepsi is rumning a sales promotion in which…

Q: The table shows relative frequencies for red-green color blindness, where M represents "person is…

A: P(M and C')=0.391, P(C')=0.959

Q: Suppose that an experiment consists of picking at random a binary string of length six. Consider the…

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Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: It is given that the number of students who passed or failed the exam is broken down by gender.