Question
Asked Sep 25, 2019
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2) Assuming that for the height of women, μ = 161.8 cm and σ = 8.9 cm, find the following:

a) Pr{Y > 175}

b) Pr{Y < 155}

c) Pr{145 < Y < 169}

 Refer to problem (2). Give the following percentiles:

a) 99.9

b) 50

c) 33

d) 67

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Expert Answer

Step 1

Hey, since multiple questions posted, we will answer first question with three subparts according to our policy. If you want any specific question to be answered, then please submit that question only or specify the question number in your message.

Step 2

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,

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1 f (x) 20 ,-8rAS-0< u< 0;00

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Step 3

a.Calculating the probability P(Y>175):

The random variable Y represent the height of women.

It has mean 161.8 cm and standard deviation 8.9 cm....

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P(Y>175) 1-P(Y<175) Using the formula NORM.DIST(175,161.8,8.9,TRUE) =1-0.9310 =0.069

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