A basketball player makes 80% of her free throws regardless of what she has done on previous free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. a. Complete the table below, using 2 decimal places, for the probability distribution for the number of free throws she makes in two attempts. (Hint: as part of your calculation, you will need to determine the combinations that yield the number of successful throws). Number of Free Throws Made Successfully Probability 0 1 b. Is this a legitimate probability distribution? Explain. C. What is the expected value and variance of this distribution? 2
A basketball player makes 80% of her free throws regardless of what she has done on previous free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. a. Complete the table below, using 2 decimal places, for the probability distribution for the number of free throws she makes in two attempts. (Hint: as part of your calculation, you will need to determine the combinations that yield the number of successful throws). Number of Free Throws Made Successfully Probability 0 1 b. Is this a legitimate probability distribution? Explain. C. What is the expected value and variance of this distribution? 2
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:A basketball player makes 80% of her free throws regardless of what she has done on previous free
throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made
in two tries.
a.
Complete the table below, using 2 decimal places, for the probability distribution for the
number of free throws she makes in two attempts. (Hint: as part of your calculation, you will
need to determine the combinations that yield the number of successful throws).
Number of Free
Throws Made
Successfully
Probability
0
1
b. Is this a legitimate probability distribution? Explain.
C. What is the expected value and variance of this distribution?
2
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