The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? i (Round the answer to 3 decimal places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value = i minutes (Round the answer to the nearest integer.) 75% value = minutes (Round the answer to the nearest integer.) c) What value of life in minutes is exceeded with 95% probability? i (Round the answer to the nearest integer.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Question
The time until recharge for a battery in a laptop computer under common conditions is normally distributed
with mean of 270 minutes and a standard deviation of 50 minutes.
a) What is the probability that a battery lasts more than four hours?
i
(Round the
answer to 3 decimal places.)
b) What are the quartiles (the 25% and 75% values) of battery life?
25% value =
i
minutes (Round the answer to the nearest integer.)
75% value = i
minutes (Round the answer to the nearest integer.)
c) What value of life in minutes is exceeded with 95% probability? i
(Round the
answer to the nearest integer.)
Transcribed Image Text:The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? i (Round the answer to 3 decimal places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value = i minutes (Round the answer to the nearest integer.) 75% value = i minutes (Round the answer to the nearest integer.) c) What value of life in minutes is exceeded with 95% probability? i (Round the answer to the nearest integer.)
Expert Solution
Step 1

Given that 

X~N( μ = 27p , ? = 50 )

μ = 270 , ? = 50

Z-score =( x - μ )/?

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