b) Estimate how long 50% of batteries are expected to last? c) Estimate how long 90% of batteries are expected to last?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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part B C

A certain type of battery has a mean shelf life of 5 years with a standard
deviation of 5 months.
a) Assuming a normal distribution, estimate the probability that a battery
chosen at random
i. will have a shelf life of at least 10 years
ii. will break down during the 10th year
iii. will not break down during its mean shelf life
(in your working, sketch the areas under the standard normal curve for each
case or attach a plot).
Transcribed Image Text:A certain type of battery has a mean shelf life of 5 years with a standard deviation of 5 months. a) Assuming a normal distribution, estimate the probability that a battery chosen at random i. will have a shelf life of at least 10 years ii. will break down during the 10th year iii. will not break down during its mean shelf life (in your working, sketch the areas under the standard normal curve for each case or attach a plot).
b) Estimate how long 50% of batteries are expected to last?
Estimate how long 90% of batteries are expected to last?
Transcribed Image Text:b) Estimate how long 50% of batteries are expected to last? Estimate how long 90% of batteries are expected to last?
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