Question

On average, an American professional football game lasts about three hours, even though the ball is actually in play only 11 minutes. Assume that game times are normally distributed with a standard deviation of 0.4 hour a. Find the probability that a game lasts less than 2 hours b. Find the probability that a game lasts either less than 2.5 hours or more than 3 hours c. Find the maximum value for the game time that will place it in the bottom 2% of the distribution

Name: on average an american professional football game lasts about three hours even though the ball is actually in play only 11 minutes assume that game times are normally distributed with a stan 09773
Uploaded: 2023-04-15T15:12:22-08:00
Duration: 2 min 20 s
Channel: Ana Carolina Da Cruz
Description: on average an american professional football game lasts about three hours even though the ball is actually in play only 11 minutes assume that game times are normally distributed with a stan 09773

          On average, an American professional football game lasts about
three hours, even though the ball is actually in play only 11
minutes. Assume that game times are normally distributed with a
standard deviation of 0.4 hour
a. Find the probability that a game lasts less than 2
hours
b. Find the probability that a game lasts either less than 2.5
hours or more than 3 hours
c. Find the maximum value for the game time that will place it in
the bottom 2% of the distribution

Added by Jonathan S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ana Carolina Da Cruz

04/15/2023

Step 1

The z-score formula is: $z = \frac{x - \mu}{\sigma}$ where $x$ is the value we're interested in, $\mu$ is the mean, and $\sigma$ is the standard deviation. a. Show more…

Show all steps

Thanks for your feedback!

On average, an American professional football game lasts about three hours, even though the ball is actually in play only 11 minutes. Assume that game times are normally distributed with a standard deviation of 0.4 hour a. Find the probability that a game lasts less than 2 hours b. Find the probability that a game lasts either less than 2.5 hours or more than 3 hours c. Find the maximum value for the game time that will place it in the bottom 2% of the distribution