Major League Baseball teams have become concerned about the length of games. During  a recent seaon , games averaged 2 hours and 52 minutes ( 172 minutes ) to complete . Assume the lenght of games follows the normal distrubution with a standard deviation of 16 minutes.  a. What is the probability that a randomly selected game will be completed in  1. 200 minutes or less?  2. more than 200 minutes? 3. 150 minutes or less? 4. More than 150 minutes  5. Excatly 150 minutes  b. What is the completion time in which 90% of the games will be finished?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Major League Baseball teams have become concerned about the length of games. During  a recent seaon , games averaged 2 hours and 52 minutes ( 172 minutes ) to complete . Assume the lenght of games follows the normal distrubution with a standard deviation of 16 minutes. 

a. What is the probability that a randomly selected game will be completed in 

1. 200 minutes or less? 

2. more than 200 minutes?

3. 150 minutes or less?

4. More than 150 minutes 

5. Excatly 150 minutes 

b. What is the completion time in which 90% of the games will be finished?

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