The top recreational activity for men was fishing, with 41% of those surveyed indicating that they had fishedduring the past year. Suppose 280 randomly selected men are asked whether they had fished in the past year(a) What is the probability that between 120 and 135 (inclusive) had fished?(b) What is the probability that the sample proportion of men who have fished in the past year, p, exceeds 50%?

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Answered: The top recreational activity for men…

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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A poll is given, showing 51% are in favor of a new building project. Let X be the number of people who favor the new building project when 28 people are chosen at random. a. What is the distribution of X? X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 11 people out of 28 favor the new building project? c. What is the probability that at least 11 people out of 28 favor the new building project? d. What is the probability that more than 11 people out of 28 favor the new building project? e. What is the probability that between 7 and 16 (including 7 and 16) people out 28 favor the new building project?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. b. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. c. 84% of all cars travel at least how fast on the freeway? mph.
A population has a mean of 50 and a standard deviation of 19 If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a . Greater than 50. b. less than 52. C. less than 49. d.between 45.5 and 54.5 e and Between 50.5 and 51.1
Q5: Assume that 75% of all employees at York University are in favor of unionization. A sample of 50 York employees were taken. a. Show the sampling distribution of the proportion of the employees at York University are in favor of unionization. b. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?
The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.4 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? I - N( b. For the group of 44, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? No Yes Submit Ouortion
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
. According to one study, 15% of workers call in sick on their birthdays. A random sample of 11 workers is selected.a. What is the probability that at most 2 of the workers in the sample call in sick on their birthdays?b. Find the expected value and standard deviation (rounded to 2 decimal places)
How can I solved Question d and e?
Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1.5 month. 15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places vwhere possible. a. What is the probability that one randomly selected person learned to walk when the person was between 11.5 and 12.5 months old? b. For the 15 people, find the probability that the average age that they learned to walk is between 11.5 and 12.5 months old. c. For part b, is the assumption that the distribution is normal necessary? O Yeso No d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal places. Q1 = months Q3 = months IQR: months
Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 84% of all cars travel at least how fast on the freeway? mph.
A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts). A. If I grab a 6 random people what is the probability that fewer than 4 need corrective lenses? B. If I take a random sample of 2000 people what is the mean and standard deviation of the number of people who need corrective lens? C. Use the normal approximation to the binomial to find the probability that I get 1375 or fewer people who need corrective lenses out of a random sample of 2000. Illustrate what you are finding on a sketch of the normal curve and show your work.

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