1. A die is rolled 15 times. Let X be the number of rolls in which we see a 5. a. What is the probability that exactly 8 of the rolls are a 5? b. What is the probability that at most 8 of the rolls are a 5? C. What is the probability that at least 8 of the rolls are a 5?

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1. A die is rolled 15 times. Let X be the number of rolls in which we see a 5.
a. What is the probability that exactly 8 of the rolls are a 5?
b. What is the probability that at most 8 of the rolls are a 5?
C. What is the probability that at least 8 of the rolls are a 5?
d. What is the probability that between 7 and 10 of the rolls are a 5?
Transcribed Image Text:1. A die is rolled 15 times. Let X be the number of rolls in which we see a 5. a. What is the probability that exactly 8 of the rolls are a 5? b. What is the probability that at most 8 of the rolls are a 5? C. What is the probability that at least 8 of the rolls are a 5? d. What is the probability that between 7 and 10 of the rolls are a 5?
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