Question

Men have heights that are normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Due to aircraft cabin designs and other considerations, British Airways and many other carriers have a cabin crew height requirement of between 5’2” and 6’1”. According to this, what percentage of men are too tall to qualify for a cabin crew position?

A.  92.8% B.  12.1%
C.  7.2% D. None of the above are remotely close.

Answer 1

Solution :

Given that ,

mean = $\mu$ = 69.5

standard deviation = $\sigma$ = 2.4

P ( 62 < x < 73 ) = P[(62 -69.5) / 2.4 ) < (x - $\mu$ ) /$\sigma$  < (73 - 69.5) / 2.4) ]

= P( -3.125 < z < 1.4583 )

= P(z < 1.4583) - P(z < -3.125)

Using z table,

= 0.9276 - 0.0009

= 0.9267
D. None of the above are remotely close..