The time required to play a certain game is uniformly distributed between 30 and 60 minutes. Complete parts a through c below. a. Find the expected value and variance of the time to complete the game. The expected value of the time to complete the game is 45 minutes. (Type an integer or decimal rounded to two decimal places as needed.) The variance of the time to complete the game is 75 (Type an integer or decimal rounded to two decimal places as needed.) b. What is the probability of finishing within 46 minutes? (Type an integer or decimal rounded to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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The time required to play a certain game is uniformly distributed between 30 and 60 minutes. Complete parts a through c below.
a. Find the expected value and variance of the time to complete the game.
The expected value of the time to complete the game is 45 minutes
(Type an integer or decimal rounded to two decimal places as needed.)
The variance of the time to complete the game is 75
(Type an integer or decimal rounded to two decimal places as needed )
b. What is the probability of finishing within 46 minutes?
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:The time required to play a certain game is uniformly distributed between 30 and 60 minutes. Complete parts a through c below. a. Find the expected value and variance of the time to complete the game. The expected value of the time to complete the game is 45 minutes (Type an integer or decimal rounded to two decimal places as needed.) The variance of the time to complete the game is 75 (Type an integer or decimal rounded to two decimal places as needed ) b. What is the probability of finishing within 46 minutes? (Type an integer or decimal rounded to three decimal places as needed.)
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