For numbers 11 and 12,A state university desires to accept only the top 15% of all graduating seniors who took theirentrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normallydistributed.11. Find the probability that a person selected at random will get a score greater than the mean of500 but will not be admitted to the universityA. 15%B. 25%C. 35%D. 85%12. Find the cutoff score for the test. jA. 600B. 460C. 640D. 80013. Which of the following statements about the normal curve is false?A. All variables that are approximately normally distributed can be transformed into standardnormal variables.B. The total area under the normal distribution is one.C. The standard normal distribution is unimodal.D. The normal distribution is a continuous random probability distribution.

Let X denote the score on the entrance test of the university. Then, it is given that:…

For numbers 11 and 12, A state university desires to accept only the top 15% of all graduating seniors who took their entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normally distributed. 11. Find the probability that a person selected at random will get a score greater than the mean of 500 but will not be admitted to the university А. 15% В. 25% 12. Find the cutoff score for the test. aj B. 460 C. 35% D. 85% A. 600 C. 640 D. 800 13. Which of the following statements about the normal curve is false? A. All variables that are approximately normally distributed can be transformed into standard normal variables. B. The total area under the normal distribution is one. C. The standard normal distribution is unimodal. D. The normal distribution is a continuous random probability distribution.

For numbers 11 and 12, A state university desires to accept only the top 15% of all graduating seniors who took their entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normally distributed. 11. Find the probability that a person selected at random will get a score greater than the mean of 500 but will not be admitted to the university А. 15% В. 25% 12. Find the cutoff score for the test. aj B. 460 C. 35% D. 85% A. 600 C. 640 D. 800 13. Which of the following statements about the normal curve is false? A. All variables that are approximately normally distributed can be transformed into standard normal variables. B. The total area under the normal distribution is one. C. The standard normal distribution is unimodal. D. The normal distribution is a continuous random probability distribution.

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...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

For numbers 11 and 12,
A state university desires to accept only the top 15% of all graduating seniors who took their
entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normally
distributed.
11. Find the probability that a person selected at random will get a score greater than the mean of
500 but will not be admitted to the university
A. 15%
B. 25%
C. 35%
D. 85%
12. Find the cutoff score for the test. j
A. 600
B. 460
C. 640
D. 800
13. Which of the following statements about the normal curve is false?
A. All variables that are approximately normally distributed can be transformed into standard
normal variables.
B. The total area under the normal distribution is one.
C. The standard normal distribution is unimodal.
D. The normal distribution is a continuous random probability distribution.

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