Chapter 11, Problem 11E

(a)

To determine

To Explain: The simulation fails to accurately model the actual situation while using a 0 to 9 random digit to show the number of heads if 9 coins are flipped.

Explanation of Solution

There is data that reflects the number of heads when 9 coins are tossed using a random integer from 0 through 9. When the coin is flipped 9 times, there are no chances that tine head is coming each time so that the effects are not equally probable. The probability of having 4 heads in 9 tosses, for example, is not the same as the probability of getting 0 heads, but the simulation implies that it is similarly probable.

(b)

To determine

To Explain: The simulation fails to accurately model the actual situation using an even digit to show a miss and an odd digit to show a good shot.

Explanation of Solution

There are details on a basketball player shooting a foul shot. Using the odd digit, look at the random digit to show a good shot and an even digit to show a miss. The simulation assumes a similar likelihood. The even-odd role assumes that the player is equally likely to hit the shot or miss it. In real situations, the probability of making a shot depends on the skill of the player.

(c)

To determine

To Explain: The simulation fails to accurately model the actual situation using the 1 to 13 random digits to show the card in 5-card poker hand.

Explanation of Solution

There is data that reflects the cards' denominations in a five-card poker hand using random digits 1 through 13. Assume that our hand has four aces representing 1, 1, 1, 1 and some other number. The very first ace is not likely to be the same as the second or third or fourth, but it means that each card is the same for the simulation.