Question

In: Statistics and Probability

The average salary of merchandisers is $41,000 per year with a standard deviation of $7000.   ...

The average salary of merchandisers is $41,000 per year with a standard deviation of $7000.
  
a. What is the probability that a merchandiser earns more than $59,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)
Probability
b. What is the probability that a merchandiser earns less than $22,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)
Probability
c. What is the probability that a merchandiser earns between $33,000 and $49,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)
Probability
d. What is the probability that a merchandiser will earn between $28,000 and $54,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)
Probability
e. What is the average salary below which 20% of the merchandisers earn? (Round the final answer to the nearest whole number.)
Salary $
f. What is the average salary above which the top 6% of the merchandisers earn? (Round the final answer to the nearest whole number.)
Salary $

Solutions

Expert Solution

Given :

The average salary of merchandisers is $41,000 per year with a standard deviation of $7000.

Mean = = 41000

Standard deviation = = 7000

Let X be the random variable .

Which is the required solution.

orchestra answered 1 year ago
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