It was found that 80% of seniors at a particular college had accepted a job offer before graduation. For those accepting offers, salary distribution was normal with a mean of $37,000 and a standard deviation of $4,000.a. For a random sample of 60 seniors what is the probability that less than 70% have accepted job offers?b. For a random sample of 6 seniors, what is the probability that less than 70% have accepted job offers?c. For a random sample of 6 seniors who have accepted job offers, what is the probability that the average salary is more than $38,000?d. A senior is chosen at random. What is the probability that she has accepted a job offer with a salary of more than $38,000?

It was found that 80% of seniors at a particular college had accepted a job offer before graduation. For those accepting offers, salary distribution was normal with a mean of $37,000 and a standard deviation of $4,000.a. For a random sample of 60 seniors what is the probability that less than 70% have accepted job offers?b. For a random sample of 6 seniors, what is the probability that less than 70% have accepted job offers?c. For a random sample of 6 seniors who have accepted job offers, what is the probability that the average salary is more than $38,000?d. A senior is chosen at random. What is the probability that she has accepted a job offer with a salary of more than $38,000?

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.

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It was found that 80% of seniors at a particular college had accepted a job offer before graduation. For those accepting offers, salary distribution was normal with a mean of $37,000 and a standard deviation of $4,000.
a. For a random sample of 60 seniors what is the probability that less than 70% have accepted job offers?
b. For a random sample of 6 seniors, what is the probability that less than 70% have accepted job offers?
c. For a random sample of 6 seniors who have accepted job offers, what is the probability that the average salary is more than $38,000?
d. A senior is chosen at random. What is the probability that she has accepted a job offer with a salary of more than $38,000?

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