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The times it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours.

What is the time for a runner with a z-score of −1.2 ?

Enter your answer, rounded to the nearest hundredth, in the box.

The times it takes runners to complete a certain marathon are normally distributed-example-1
User Rozlyn
by
4.6k points

2 Answers

3 votes

Answer:

3.28

Explanation:

z score is:

z = (x - μ) / σ

For z = -1.2, μ = 4.6, and σ = 1.1:

-1.2 = (x - 4.6) / 1.1

x = 3.28

User Ivan Banha
by
5.0k points
5 votes

The Answer will be 3.28 h

hope this will Help:)

User Phfsck
by
5.4k points