atistics and ProbabilitySuppose that 60% of college students own a smart phone manufactured by Apple. If arandom sample of 200 college students is selected, use the normal distribution toapproximate the probability that the number of students in the sample owning asmartphone made by Apple will be less than 105. Is it reasonable to use the normalapproximation here?AnswerSkipExit

Given: Prob. that students own smartphones, p=0.60 Sample size, n=200

Answered: Suppose that 60% of college students…

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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Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
About 71% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be pq less than 63%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 63% is (Round to four decimal places as needed.) More Clear All Final Check Help Me Solve This View an Example Get More Help - 4:51 PM 73°F Rain coming 4* 10/4/2021 O Type here to search 10/05/17 EGO PrtSc Insert Delete 口回 F10 F11 F12 F7 F8 F9 F6 Esc F2 F4 F5 F1 F3 & Backspace Num Lock 5 6 2 R T. Y U Home G K L Enter F H. J + |I LEGY P * 00 44 %#3 山

A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.
Suppose that home prices (in thousands of dollars) in a certain region have a mean of 360 and a standard deviation of 180. A realtor randomly selects a sample of 90 homes in the region. Estimate the probability that the sample mean home price from the realtor's data is greater than 400 (thousand dollars). You must justify your solution, and note any assumptions you are making.
About 77% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 69%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 69% is (Round to four decimal places as needed.)
A data from a physician office shows that only 10% of patients are taller than 6 ft. If there are 4 patients in the office,find the probability that at least one of them is taller than 6 ft. Then, find mean and standard deviation of the number of patients taller than 6ft.

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