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The life of a fully-charged cell phone battery is normally distributed with a mean of 14...

The life of a fully-charged cell phone battery is normally distributed with a mean of 14 hours with a standard deviation of 3 hours. What is the probability that 25 batteries last less than 16 hours?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean =   = 14

standard deviation = σ   = 3

n = 25

= 14

=  / n = 3 / 25=0.6

P( <16 ) = P[( - ) / < (16-14) / 0.6]

= P(z <3.33 )

Using z table  

= 0.9996   

probability= 0.9996   

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