24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8900. a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary? b.) What is the probability that a randomly selected associate professor's salary is less than $147,702? c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000. d.) Suppose a sample of 16 associate professor's salary are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8900. a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary? b.) What is the probability that a randomly selected associate professor's salary is less than $147,702? c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000. d.) Suppose a sample of 16 associate professor's salary are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Question
24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of
$8900.
a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary?
b.) What is the probability that a randomly selected associate professor's salary is less than $147,7027
c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and
$175,000.
d.) Suppose a sample of 16 associate professor's salary are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
Expert Solution
Step 1: Information given is
Mean() of associate professor=147707
standard deviation() of associate professor=8900
The average annual professor's salary is $159,964 for an assistant professor
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