Answered: What is the standard deviation of a…

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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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 179000 dollars. Assume the standard deviation is 38000 dollars. Suppose you take a simple random sample of 56 graduates.Find the probability that a single randomly selected salary exceeds 172000 dollars.
The lifetime of a light bulb is normally distributed with an average life of 500 hours and a standard deviation of 100 hours. If a company installs 5000 of these light bulbs, find the number of bulbs that can be expected to last between 500 hours and 675 hours.
due to the increasing price of apartments each year, houston chronicle reported that rent of 1 bed 1 bath apartments in houston and suburbs is $1200 with standard deviation of $500. suppose claire decided to take 20 different random samples from the different houston areas. in how many samples would she expect to get the price to be more that $1100?
An elevator has a weight capacity of 2000 pounds. Assume the weights of us men have a mean of 190 with a standard deviation of 25 pounds. If 10 men enter the elevator; what is the probability the elevator will be over capacity?
A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. What is the probability that the sample mean exceeds 110?
3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants.
2
According to the Centers of Disease Control and Prevention (CDC), the aging of the U.S. population is translating into many more visits to doctors’ offices and hospitals. It is estimated that an average person makes four visits a year to doctors’ offices and hospitals. a. What are the mean and the standard deviation of an average person’s number of monthly visits to doctors’ offices and hospitals? (Round your answers to 4 decimal places.) b. What is the probability that an average person does not make any monthly visits to doctors’ offices and hospitals? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) c. What is the probability that an average person makes at least one monthly visit to doctors’ offices and hospitals? (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers is taken, what are the mean and standard deviation of the number of movie goers that prefer comedy?
Erla rolls six sided dice 15 times. What is the standard deviation of the number of sixes that occur?
If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds 140 lbs. The mean is 180 lbs and standard deviation is 44 lbs
Among the students of AUCA, 30% know two foreign languages. Find the meanand the standard deviation of the number of such students among 11 randomly chosen.What is the probability that at most 2 students among them know two foreign languages?

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What is the standard deviation of a coin tossed 100 times resulting in 40 heads and 60 tails