Ap Statistics Solutions To Packet 6 - Probability The Study Of Randomness Worksheet With Answers Page 2
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21HW #37 3, 4, 8, 11, 14, 15, 17, 18
6.3 SHAQ The basketball player Shaquille O’Neal makes about half of his free throws over an entire
season. We will use the calculator to simulate 100 free throws shot independently by a player who has
probability 0.5 of making each shot. We let the number 1 represent the outcome “Hit” and 0 represent
a “Miss.”
(a) Enter the command randInt(0, 1, 100) → SHAQ. This tells the calculator to randomly select a hit
(1) or a miss (0), do this 100 times in succession, and store the results in the list named SHAQ.
(b) What percent of the 100 shots are hits?
In our simulation, Shaq hit 52% of his shots.
(c) Examine the sequence of hits and misses. How long was the longest run of shots made? Of shots
missed? (Sequences of random outcomes often show runs longer than our intuition thinks likely.)
The longest sequence of misses in our run was 6 and the longest sequence of hits was 9.
Of course, results will vary.
6.4 MATCHING PROBABILITIES Probability is a measure of how likely an event is to occur.
Match one of the probabilities that follow with each statement about an event. (The probability is
usually a much more exact measure of likelihood than is the verbal statement.)
0, 0.01, 0.3, 0.6, 0.99, 1
(a) This event is impossible. It can never occur.
0
(b) This event is certain. It will occur on every trial of the random phenomenon.
1
(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.
0.01
(d) This event will occur more often than not.
0.6
6.8 THREE OF A KIND You read in a book on poker that the probability of being dealt three of a
kind in a five-card poker hand is 1/50. Explain in simple language what this means.
In the long run, of a large number of hands of five cards, about 2% (one out of 50) will
88
contain a three of a kind. (Note: This probability is actually
= 0.02113.)
4165
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