Question 1: A basketball team at a university is composed of ten players. The team is made up of players who playthe position of either guard, forward, or center. Four of the ten are guards, four are forwards, and two arecenters. The numbers that the players wear on their shirts are 1, 2, 3, and 4 for the guards; 5, 6, 7, and 8for the forwards; and 9 and 10 for the centers. The starting five are numbered 1, 3, 5, 7, and 9. Let aplayer be selected at random from the ten. The events are defined as follows:
Let A be the event that the player selected has a number from 1 to 8.
Let B be the event that the player selected is a guard.
Let C be the event that the player selected is a forward.
Let D be the event that the player selected is a starter.
Let E be the event that the player selected is a center.
Calculate P(C).
A. 0.40
B. 0.50
C. 0.20
D. 0.80
Question 2: Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January,
Kansas will experience exactly two tornadoes?
A. 0.2226
B. 0.4076
C. 0.2087
D. 0.1304
Question 3: From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the selected card is either an ace, a queen, or a three?
A. 0.3
B. 0.25
C. 0.2308
D. 0.0769
Question 4: A continuous probability distribution represents a random variable
A. that's best described in a histogram.
B. having an infinite number of outcomes that may assume any number of values within an interval.
C. that has a definite probability for the occurrence of a given integer.
D. having outcomes that occur in counting numbers.
Question 5: The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales arenormally distributed. The standard deviation is 3.061. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour?
A. 0.239
B. 0.136
C. 0.475
D. 0.342