Number of Daily passengers of a roller coaster is 16000.

Average time to wait in a line is  .

Standard deviation is .

(a)

Find the number of passengers who will wait less than

to ride the roller coaster.

Find the probability for number of passengers who will wait less than

to ride the roller coaster.

Let be the random variable for the required event.

.

Standardize to using -Score formula.

-Score formula is .

where is the wait in line less than ,

is the mean and is the standard deviation.

From -score table the probability is .

.

.

Find the number of passengers who will wait less than to ride the roller coaster.

Total number of Daily passengers of a roller coaster is .

The  passengers who will wait less than is .

.

Number of passengers who will wait less than is 3390.

(b)

Find the number of passengers who will wait more than to ride the roller coaster.

Find the probability for who will wait more than to ride the roller coaster.

Find .

Let be the random variable for the required event.

.

.

Standardize to using -Score formula.

-Score formula is .

where is the wait in line less than ,

is the mean and is the standard deviation.

From -score table the probability is .

.

Find the number of passengers who will wait less than

to ride the roller coaster.

Number of Daily passengers of a roller coaster is .

The  passengers who will wait less than is .

.

Therefore, Number of passengers who will wait more than is 1841.

(a) Number of passengers who will wait less than is 3390.4.

(b) Number of passengers who will wait more than is 1841.