The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 260 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? 0.6554 places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value=i ! 75% value=i ! c) What value of life in minutes is exceeded with 95% probability? i integer.) (Round the answer to 3 decimal minutes (Round the answer to the nearest integer.) minutes (Round the answer to the nearest integer.) ! (Round the answer to the nearest Statistical Tables and Charts
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 260 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? 0.6554 places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value=i ! 75% value=i ! c) What value of life in minutes is exceeded with 95% probability? i integer.) (Round the answer to 3 decimal minutes (Round the answer to the nearest integer.) minutes (Round the answer to the nearest integer.) ! (Round the answer to the nearest Statistical Tables and Charts
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes.
a) What is the probability that a battery lasts more than four hours?
\[ \boxed{0.6554} \] (Round the answer to 3 decimal places.)
b) What are the quartiles (the 25% and 75% values) of battery life?
25% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.)
75% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.)
c) What value of life in minutes is exceeded with 95% probability?
\[ \boxed{} \] (Round the answer to the nearest integer.)
A brief explanation of the questions:
- Question (a) asks for the probability that the battery life exceeds 240 minutes (or 4 hours).
- Question (b) involves finding the quartiles for the battery life distribution, which are the 25th and 75th percentiles.
- Question (c) is about determining the threshold battery life that 95% of all measured times will exceed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2daded1-43ee-4029-90b7-c42a42a26770%2Fa54d4b62-05c7-4d68-896c-07a547ce5247%2Fx2oxy9s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes.
a) What is the probability that a battery lasts more than four hours?
\[ \boxed{0.6554} \] (Round the answer to 3 decimal places.)
b) What are the quartiles (the 25% and 75% values) of battery life?
25% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.)
75% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.)
c) What value of life in minutes is exceeded with 95% probability?
\[ \boxed{} \] (Round the answer to the nearest integer.)
A brief explanation of the questions:
- Question (a) asks for the probability that the battery life exceeds 240 minutes (or 4 hours).
- Question (b) involves finding the quartiles for the battery life distribution, which are the 25th and 75th percentiles.
- Question (c) is about determining the threshold battery life that 95% of all measured times will exceed.
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