Lemma
EasyDiscrete distributions
OpenStax, Introductory Statistics 2e §4.4 Geometric Distribution · Try It 5 · Probability · Discrete distributions

Geometric Distribution · Try It 5

The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12%. Let X = the number of Afghani women you ask until one says that she is literate.

(a) What is the probability distribution of X?
(b) What is the probability that you ask five women before one says she is literate?
(c) What is the probability that you must ask ten women?
(d) Find the (i) mean and (ii) standard deviation of X.

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OpenStax, Introductory Statistics 2e · §4.4 Geometric Distribution · Try It 5

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