Question

Asked Feb 5, 2019

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Step 1

Let X be the height of adult males in Iceland. It is given that height of adult males follows Normla distribution with mean=181.7cm and standard deviation=6.8cm

To find probability the first step is to convert given x values into z score.The z score formula is shown on the board.

Step 2

a) Probability that an adult male chosen at random is between 181.7cm and 190cm tall is

Using Z score table to find the probability below z=1.22 and z=0

P(Z <1.22) = 0.8888 and P(Z<0)= 0.5

So, P(Z<1.22) - P(Z<0) = 0.8888-0.5 = 0.3888

Hence, probabiity that an adult male chosen at random is between 181.7cm and 190cm tall is 0.3888

Step 3

b) The percentage of adult male population is more than 5 feet and 9 inces tall

Convert 5feetand 9 inch into cm

1foot =12 inches

so, 5 feet =12*5 = 60inches

60+9inches=69inches

1Inch =2.54cm

So, 69inch = 69 *2....

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