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Mathematics, 21.02.2020 05:12 nerdykitty4586

A geological study indicates that an exploratory oil well drilled in a certain region should strike oil with probability 0.1. Assume that striking oil (viewed as success) at one drilling location is independent of success at another location.

(a) Let X be the number of successful strikes if 8 wells are dug. What is the distribution of X.

(b) What is the probability of obtaining at least (inclusive) 3 oil strikes if 8 wells are dug?

(c) If 40 wells are drilled, what is the approximate probability that 8 or fewer will strike oil? Justify your choice of the approximating distribution by verifying the relevant condition(s).

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