An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.30 seconds or faster? (Round your answer to two decimal places.)

Question

Lillie Santos

Mathematics

26 November, 14:09

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.30 seconds or faster? (Round your answer to two decimal places.)

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Answers (1)

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Mara Schultz · Answer 1

6.68%

Step-by-step explanation:

First find the z-score:

z = (x - μ) / σ

z = (13.30 - 13.00) / 0.2

z = 1.50

Look the value up in a z-score table, or use a calculator.

P (z>1.50) = 1 - 0.9332

P (z>1.50) = 0.0668

6.68% of players on the team run the 100 meter dash in 13.30 seconds or faster.