Question 4According to the Transportation Security Administration (TSA) data, 7.3% of the passengers fly first-class. Arandom sample of size 170 was obtained. Let be the proportion of the sample that fly first-class.|) to describe the probability distribution of pandBE1. Use the Central Limit Theorem (Select an answerSelect an answernp<10 and n(1-p)<10np>10 and n(1-p)>10n(1-p)<10 but np>10n(1-p)<10 but np>10state its parameters and op: (Round the answers to 4 decimal places)op=p~ Select an answer (Hp =Select an answerNTZIBX²unknownF2. Find the probability that between 10% and 11% of the sample fly first-class.(Round the answer to 4 decimal places)

Answered: According to the Transportation…

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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The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages 12–59 test seropositive for HPV‑16. Suppose that Tara, an infectious disease specialist, assays blood serum from a random sample of ?=1000 women in the United States aged 12–59. Apply the central limit theorem for the distribution of a sample proportion to find the probability that the proportion, ?̂, of women in Tara's sample who test positive for HPV‑16 is greater than 0.206. Express the result as a decimal precise to three places. Apply the central limit theorem for the distribution of a sample proportion to find the probability that the proportion of women in Tara's sample who test positive for HPV‑16 is less than 0.169. Express the result as a decimal precise to three places.
Let A1, A2, . . . , A100 be a random sample from a uniform distribution on the interval(0,1). Let B = A1 + A2 + . . . + A100. 1. Let A¯ = B/100. Find P(2 < A¯ < 2.15).
It is known that the variable X is normally distributed as X-N (117, 8.4). If a sample size of 37 is selected then find the probability below P(X < 119)
Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution 4000. Determine the following in parts (a) and (b): with B 2 and 8 = = a P(X > 5000) b P(X> 8000|X > 3000) c Comment on the probabilities in the previous parts compared to the results for an expo- nential distribution.
The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20-39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 of young adults ages 20-39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, X, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. P(X > 122)%3D eal limir thaor tnr the hinamialdietrikotian tn indtha neohabilin: tbot the numbar of individuale in Aanly tha nd tems of use contact us he p about us cyeers 6:56 PM 11/6/2020 a. 2) Cip prt sc insert 110 |
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 109 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that fewer than 29 voted The probability that fewer than 29 of 109 eligible voters voted is (Round to four decimal places as needed.)
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
A coin with p{h} = p = 1 - q is tossed n times. Show that the probability that the number of heads is even equals 0.5[1 + (q - p)"].
Let X be the time (in minutes) it takes Mr. Sheikh to drive from his home to his office. Suppose X has a uniform distribution on [25, 40]. If he leaves his home every day at 8:25 am and has to be in by 9:00 am, what is the probability that he will be late for work?
Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.
A manufacturing company claims that the number of machine breakdowns follows a Poisson distribution with a mean of two breakdowns every 500 hours. Let x denote the time (in hours0 between successive breakdowns. assuming that the manufacturing company's claim is true, find the probability that the time between successive breakdowns is at most five hours.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 88 minutes. Find the probability that a randomly selected passenger has a waiting time greater thangreater than 1.251.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater thangreater than 1.251.25 minutes

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