**Problem Statement:**Assume that 30.8% of people have sleepwalked. Assume that in a random sample of 1459 adults, 487 have sleepwalked.- **a.** Assuming that the rate of 30.8% is correct, find the probability that 487 or more of the 1459 adults have sleepwalked. - **b.** Is that result of 487 or more significantly high?- **c.** What does the result suggest about the rate of 30.8%?---**Task Details:**- **a.** Assuming that the rate of 30.8% is correct, the probability that 487 or more of the 1459 adults have sleepwalked is \_\_\_ (Round to four decimal places as needed).- **Response Options:** - "Help me solve this" - "View an example" - "Get more help"- **Tools:** - "Clear all" - "Check answer"

Answered: Image /qna-images/answer/e5cae1cb-fbed-4708-844e-cc59a08347ff.jpg

Answered: 5 Assume that 30.8% of people have…

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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9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
Seventy-five percent of the students applying to a university are accepted. Using the binomial probability tables, what is the probability that among the next 18 applicants d. Fifteen or more will be accepted? e. Determine the expected number of acceptances. f. Compute the standard deviation.
The length of the long-distance calls made by the employees of a certain company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.5 minutes. Find the probability that a call will last between 5 and 10 minutes. A. .3897 B. .1788. C. .6290. D. .6308
b. If 26 different women are randomly selected, find the probability that their mean weight is between150 lb and 221 lb.The probability is approximately enter your response here. (Round to four decimal places as needed.)
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is normally distributed with a mean of $2.39 and a standard deviation of $0.15. If you randomly pick a gas station, what is the probability the price is exactly $2.46 per gallon? A) 0.14 B) 0 C) 1 D) 0.68
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.
Based on a poll, among adults who regret getting tattoos, 23% say that they were too young when they got their tattoos. Assume that ten adults who regret getting tattoos are randomly selected, and find the indicated probability. a. Find the probability that none of the selected adults say that they were too young to get tattoos.

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