Question

an airline estimates that 91 percent of people booked on their flights actually show up. if the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity of the plane?

Answer 1

Given that,

p

=

0.91

n

=

76

The required probability is

P

(

X

>

74

)

.

Now,

P

(

X

>

74

)

=

1

−

P

(

X

≤

74

)

Excel function for the above probability:

=BINOMDIST(74,76,0.91,1)

P

(

X

>

74

)

=

1

−

0.9934

P

(

X

>

74

)

=

0.0066