Question

In: Statistics and Probability

An airliner carries 250 passengers and has doors with a height of 75 in. Heights of...

An airliner carries 250 passengers and has doors with a height of 75 in. Heights of men are normally distributed with a mean of 69.0

in and a standard deviation of 2.8 in. Complete parts​ (a) through​ (d).

a. If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.

The probability is 0.9838

​(Round to four decimal places as​ needed.)

b. If half of the 250 passengers are​ men, find the probability that the mean height of the 125 men is less than 75 in.

The probability is nothing.

​(Round to four decimal places as​ needed.)

Solutions

Expert Solution

a)

b)

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