HBO recently published a report detailing the watch-time of all its active users. It was identified that the monthly watch-time follows a normal distribution with a mean of 102 hours and a standard deviation of 10 hours. a. What is the probability that a randomly selected subscriber watches more than 87 hours of HBO per month? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that a randomly selected subscriber watches between 97 and 103 hours of HBO per month? Answer in exact fraction, or rounded to at least 4 decimal places.

A First Course in Probability (10th Edition)
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HBO recently published a report detailing the watch-time of all its active users. It was identified that the monthly watch-time follows a normal
distribution with a mean of 102 hours and a standard deviation of 10 hours.
a. What is the probability that a randomly selected subscriber watches more than 87 hours of HBO per month?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. What is the probability that a randomly selected subscriber watches between 97 and 103 hours of HBO per month?
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:HBO recently published a report detailing the watch-time of all its active users. It was identified that the monthly watch-time follows a normal distribution with a mean of 102 hours and a standard deviation of 10 hours. a. What is the probability that a randomly selected subscriber watches more than 87 hours of HBO per month? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that a randomly selected subscriber watches between 97 and 103 hours of HBO per month? Answer in exact fraction, or rounded to at least 4 decimal places.
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