Many airlines have a requirement that a member of the catin en a standard Exam #

Question

Many airlines have a requirement that a member of the catin en a standard Exam # 2 03/20/2013 that men have a normally distributed height with mearn below: cabin crew must have a height between 62" and 73. Given a. If you randomly select a male cabin a male cabin crew, his height will meet the requirement above. b. If you randomly select a male c. If you randomly select a male cabin crew, his height will be more than 80? d. If you randomly select 20 male cabin crew, their mean heights be morr than 65"?

Explanation / Answer

mean = 70 , std.deviation = 2.4

a)

Yes, because cabin crew height i sgiven between 62 and 73 and here average of men is 70

b)

P(X > 65)
z = ( x - mean)/s
= ( 65 - 70)/2.4
= -2.0833

P(X > 65) = P(z>-2.0833) = 0.9814 By using standard distribution table

c)
P(X > 80)
z = ( x - mean)/s
= ( 80 - 70)/2.4
= 4.1667

P(X > 65) = P(z>4.1667) = 0 By using standard distribution table

d)
n =20
P(X > 65)
z = ( x - mean)/(s/sqrt(20))
= ( 65 - 70)/(2.4/sqrt(20))
= -9.3169

P(X > 65) = P(z>) = 1 By using standard distribution table

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