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Mathematics, 08.01.2021 17:50 amw4

A recent report indicated that 22 percent of the households in a certain community speak a language other than English at home. A reporter will randomly select a household from the community until the first household that speaks a language other than English at home is selected. Let random variable Q represent the number of attempts needed until the first household that speaks a language other than English at home is selected. The random variable Q has a geometric distribution with p=0.22. Which of the following is closest to the variance of the random variable? (A) 0.0484
(B) 2.5454
(C) 4.5455
(D) 4.0144
(E) 16.1157

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