Question

Shorty’s Muffler advertises it can install a new muffler in 30 minutes or less. However, the work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less. The Maumee branch installed 50 mufflers last month. If the corporate report is correct: How many of the installations at the Maumee branch would you expect to take more than 30 minutes?

Answer 1

The installations at the Maumee branch would you expect to take more than 30 minutes is 10.

Explanation:

Consider the provided information.

Let x is the installations at the Maumee branch take more than 30 minutes.

The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.

Therefore, π=0.20

The Maumee branch installed 50 mufflers last month.

Thus, n=50

Mean of the distribution: μ=nπ

Substitute the respective values in the above formula.

μ=(50)(0.20)

μ=10

Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.