MNM Corporation gives each of it's' employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from population of 500. a. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14? b. What is the probability that the average aptitude test in the sample will be greater than 82.68? c. What is the probability that the average aptitude test in the sample will be less than 78.69?

MNM Corporation gives each of it's' employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from population of 500. a. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14? b. What is the probability that the average aptitude test in the sample will be greater than 82.68? c. What is the probability that the average aptitude test in the sample will be less than 78.69?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 6.23 ounces and a standard deviation of 0.24 ounce. Suppose that you draw a random sample of 43 cans. Find the probability that the mean weight of the sample is less than 6.22 ounces. Probability =
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 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.
Among the details made by the motor factory, 10% are defective. Find the meanand the standard deviation of the number of defective details among 8 randomly chosen.What is the probability that not more than 2 details among them are defective?
According to a survey, 10% of Americans are afraid to fly. Suppose n=1052n=1052 Americans are sampled. While computing standard deviation, use either at least 6 places or even better is to use the exact value. What is the probability percentage that 121 or more Americans in the survey are afraid to fly? Round the percent to two decimal places. What is the probability percentage that between 101 and 165 (inclusive) Americans in the survey are afraid to fly? Round the percent to two decimal places.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The heights of women in the United States are normally distributed with a mean of 63.7 inches and a standard deviation of 2.7 inches. If you randomly select a woman in the United States, what is the probability that she will be between 65 and 67 inches tall?
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.)
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 850 bills is drawn. What is the probability that more than 150 of the sampled bills are for amounts greater than $1000? Probability =
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?
About 79% of all female heart transplant patients will survive for at least 3 years. Seventy 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 75%? 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 pqn.
According to "Infoplease," 19.1% of the luxury cars manufactured in 2003 were silver. A large car dealership typically sells 45 luxury cars a month.
Most graduate of Senior High Schools are taking up Batangas State University College Entrance Exam. Scores on the entrance exam are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the entrance exam? how high must an individual score on the entrance exam in order to score in the highest 5%?