(a) What is the probability that a user spends more than 30 minutes using the app (in a single sitting)? (b) If a user has already spent one hour using the app, what is the probability they will spend at least another 30 minutes using the app? (c) Suppose that 20,000 individuals use the app on any given day, what is the probability that less than 7,500 use the app for less than 18 minutes? Hint: You'll want to approximate a binomial distribution with a normal distribution here.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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a b and c please thank you

3 A social media platform estimates that the length of time a user spends using their app in a
single sitting is exponentially distributed with a mean of 18 minutes.
(a) What is the probability that a user spends more than 30 minutes using the app (in a single
sitting)?
(b) If a user has already spent one hour using the app, what is the probability they will spend
at least another 30 minutes using the app?
(c) Suppose that 20,000 individuals use the app on any given day, what is the probability that
less than 7,500 use the app for less than 18 minutes?
Hint: You'll want to approximate a binomial distribution with a normal distribution here.
Transcribed Image Text:3 A social media platform estimates that the length of time a user spends using their app in a single sitting is exponentially distributed with a mean of 18 minutes. (a) What is the probability that a user spends more than 30 minutes using the app (in a single sitting)? (b) If a user has already spent one hour using the app, what is the probability they will spend at least another 30 minutes using the app? (c) Suppose that 20,000 individuals use the app on any given day, what is the probability that less than 7,500 use the app for less than 18 minutes? Hint: You'll want to approximate a binomial distribution with a normal distribution here.
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