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The gas bills in March is normally distributed with a mean of $84, and a standard...

The gas bills in March is normally distributed with a mean of $84, and a standard deviation of $16.

What percent of homes have a gas bills between $ 50 and $ 60?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

mean = = 84

standard deviation = = 16

P ( 50 < x < 60 )

P ( 50 - 84 / 16) < ( x -  / ) < ( 60 - 84 / 27)

P ( - 34 / 16 < z < - 24 / 16 )

P (-2.12 < z < -1.5)

P ( z < - 1.5 ) - P ( z < -2.12)

Using z table

= 0.0668 - 0.0170

= 0.0498

Probability = 0.0498 = 4.98%

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