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OpenStax, Introductory Statistics 2e §4.4 Geometric Distribution · Exercise 14 · Probability · Discrete distributions

Geometric Distribution · Exercise 14

According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site.

(a) Describe the distribution of X.
(b) Find the (i) mean and (ii) standard deviation of X.
(c) What is the probability that you must ask ten people to find one person without a social networking site?
(d) What is the probability that you must ask 20 people to find one person without a social networking site?
(e) What is the probability that you must ask at most five people?

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OpenStax, Introductory Statistics 2e · §4.4 Geometric Distribution · Exercise 14

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