Question

In: Statistics and Probability

an airliner carries 50 passengers and has doors with a height of 74 in. Heights of...

an airliner carries 50 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8in
what is the probability?
if half of 50 passengers are, find the probability that the mean height of the 25 men is less than 74in

Solutions

Expert Solution

Solution :

Given that ,

mean = = 69.0

standard deviation = = 2.8

1) n = 50

=   = 69.0

= / n = 2.8 / 50 = 0.40

P( < 74) = P(( - ) / < (74 - 69.0) / 2.8)

= P(z < 1.79)

Using z table

= 0.9633

2) n = 25

=   = 69.0

= / n = 2.8 / 25 = 0.56

P( < 74) = P(( - ) / < (74 - 69.0) / 0.56)

= P(z < 8.93)

Using z table

= 1


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