Problem 3-11 (Algorithmic)A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large. Thesurvey found that 68% of the respondents do believe inequality is too large.a. In a sample of six British citizens, what is the probability that two believe inequality is too large? If required, round your answer tofour decimal places.f (2) =b. In a sample of six British citizens, what is the probability that at least two respondents believe that inequality is too large? Ifrequired, round your interim calculations and final answer to four decimal places.P (at least 2) =%3Dc. In a sample of four British citizens, what is the probability that none believe inequality is too large? If required, round your answerto four decimal places.f (0) =%3D

From the provided information, Sample size (n) = 6 68% of the respondent d believe inequality is too…

Answered: A recent survey by the New Statesman on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Problem 4-05 (Algorithmic) In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score 1 or 2 additional points. Going for 1 point is virtually an assured success, while going for 2 points is successful only with probability p. Consider the following game situation. The Temple Wildcats are losing by 14 points to the Killeen Tigers near the end of regulation time. The only way for Temple to win (or tie) this game is to score two touchdowns while not allowing Killeen to score again. The Temple coach must decide whether to attempt a 1-point or 2-point conversion after each touchdown. If the score is tied at the end of regulation time, the game goes into overtime. The Temple coach believes that there is a 43% chance that Temple will win if the game goes into overtime. The probability of successfully converting a 1-point conversion is 1.0. The probability of successfully converting a 2-point conversion is p. Assume…
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places.P0 = What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places.P1 = What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places.P2 = What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places.P3 = What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.P(More than 2 waiting) = f…
Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $4000, and the average first-year commission for each new account opened is $6000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar.Profit = (New Accounts Opened × $ __________) – $ _____________ What type of random variable is the number of new accounts opened? (Hint: Review Appendix 16.1 for descriptions of various types of probability distributions.)The number of new accounts opened is a ____________ random variable with _______________ trials and ______________probability of a success on a single trial. Assume that the…
Rework problem 21 from section 4.1 of your text involving the deep-sea fisherman. Assume that the fisherman can use between 3 and 6 lines. With 3 lines, the probability of a catch on each line is 0.75. With 4 this probability is 0.69, with 5 it is 0.59, and with 6 the probability is 0.44. How many lines should the fisherman use to maximize the probability of catching at least 2 fish?
Problem 1. In a hospital you have found that there are 232 people that have not gotten the flu shot and 283 have. What is the probability that if you pick 3 people none of them have gotten the flu shot? (hint: you will have to add both numbers to get the total, round off to 3 decimals)= .091 Look at problem 2. It is (usual/unusual) to pick 3 people who have not gotten the flu shot since it is (more/less) than ?
Rework problem 25 in section 4.2 of your text, involving the rolling of a die. Assume that the die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.1, the probability of a 3 is 0.1, the probability of a 4 is 0.3, the probability of a 5 is 0.2, and the probability of a 6 is 0.1. You roll the die until the sum of all numbers which have appeared exceeds 3. A random variable XX is defined to be the number of rolls. How many different values are possible for the random variable XX?
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Rework problem 25 in section 4.2 of your text, involving the rolling of a die. Assume that the die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.1, the probability of a 3 is 0.1, the probability of a 4 is 0.2, the probability of a 5 is 0.1, and the probability of a 6 is 0.3. You roll the die until the sum of all numbers which have appeared exceeds 3. A random variable XX is defined to be the number of rolls. How many different values are possible for the random variable XX? Fill in the table below to complete the probability density function. Be certain to list the values of XX in ascending order.
Rework problem 25 in section 4.2 of your text, involving the rolling of a die. Assume that the die is weighted so that the probability of a 1 is 0.1, the probability of a 2 is 0.1, the probability of a 3 is 0.2, the probability of a 4 is 0.2, the probability of a 5 is 0.2, and the probability of a 6 is 0.2. You roll the die until the sum of all numbers which have appeared exceeds 3. A random variable XX is defined to be the number of rolls. How many different values are possible for the random variable X? - 4 different values are possible for the random variable X Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order
Problem 3: The campus bookstore estimates that a customer will purchase SUNY Broome merchandise 30% of the time. During one hour, the store has ten customers. For this problem, calculations may be done using the formula or by using the Binomial Probabilities table, if appropriate. Show work for partial credit (if your value is incorrect). (10 points total) a.) What is the probability that exactly two of the customers buy SUNY Broome merchandise? b.) What is the probability that two or fewer customers buy merchandise? c.) What is the expected number of customers that will buy merchandise?
Discrete Mathematics Problem 4 A certain virus is spreading rapidly through the population and doctors have come up with a new but imperfect test to determine if a patient is infected.• 20 percent of the population is already infected with the virus.• 90 percent of infected patients test positive.• 50 percent of healthy uninfected patients also test positive. For this section, express your answer as a simple fraction or number.i. What is the probability that a random person tests positive? ii. What is the probability that a random person who tests positive actually has the virus? iii. Suppose an independent second test is performed on a patient that previously tested positive. This time, the test result is negative. Now, what is the probability that the patient is infected with the virus?
Problem B2. You have a fair coin and a biased coin in a bag. The probability of heads for the biased coin is 1/5 . You are equally likely to pick either of the coins from the bag. You pick one of the coins from the bag and toss it 10 times. What is the probability that you picked the biased coin if you got exactly 2 heads in the 10 tosses?

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