In a neighborhood of 95 homes, 35 have pets. Suppose that 12 homes are selected at random.

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In a neighborhood of 95 homes, 35 have pets.

Suppose that 12 homes are selected at random. The random variable X represents the number of homes in the sample that have pets. What is the probability of obtaining:

(a) 8 homes with a pet?

(b) 9 homes with a pet?

(c) 12 homes with a pet? Would it be unusual to select 12 homes that have a pet?

(d) What is the mean and standard deviation of the random variable X?

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