The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. d) If we select randomly 2 employees, what is the probability that the sum of their salary is higher than 100,000$? Lower then 140,000$? e) if we take 10 employees with replacement, what’s the proba that at least one of them earns more than $60,000? Knowing that the first 2 employees have more than $ 30,000, what ‘s the probability that the last 8 (among the 10 employees we selected) get more than $50,000 (each of them) ?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Exercise5:The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000.

d) If we select randomly 2 employees, what is the probability that the sum of their salary is higher than 100,000$? Lower then 140,000$?

e) if we take 10 employees with replacement, what’s the proba that at least one of them earns more than $60,000?

Knowing that the first 2 employees have more than $ 30,000, what ‘s the probability that the last 8 (among the 10 employees we selected) get more than $50,000 (each of them) ?

f) if we select 2 persons with replacement, what’s the proba that the first one gets more than 30000 and he second one less than that?

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