Mathematics, 02.03.2020 23:47, Abrahamolve

In the Pirates of the Aegean video game, you may have to investigate o, 1, 2, 3. 4, or 5 grottoes without success before you finally locate a treasure chest. You conclude that the probability you will have to investigate at most x grottoes without success is F(x) P(x s x) l ij and F5) 1. (Remember that n'" (n-1)(n-2)...(n-k+ 1) is the number of permutations (ordered lists without replacement) of k items from n possibilities.) a) What is the probability you will have to investigate exactly 3 grottoes without success? b) What is the expected number ECM) of grottoes you will investigate without success?c) What is the variance Var(M) of the number of grottoes you will investigate without success?

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In the Pirates of the Aegean video game, you may have to investigate o, 1, 2, 3. 4, or 5 grottoes wi...