QUESTION # 1

Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about58minutes. Assume that the arrival times follow a normal distribution.

(a) At what time after the doors open will87%of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)

minutes after doors open

(b) At what time after the doors open will only12%of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)

minutes after doors open

(c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.

QUESTION # 2

Findzsuch that5%of the standard normal curve lies to the left ofz. Round your answer to three decimal places.

z=___________

QUESTION #3

Findzsuch that93.5%of the standard normal curve lies to the right ofz. Round your answer to two decimal places.

z=____________

QUESTION # 4

Consider a normal distribution with mean38and standard deviation8. What is the probability a value selected at random from this distribution is greater than38? Round your answer to two decimal places.