PQ2. It is known that 58% of homes in a certain suburb have large-screen TV sets.

A random sample of eight homes is taken,

a. Find the probability that exactly one home will have a large-screen TV set.

b. Find the probability that less than two homes will have a large-screen TV set.

c. Find the probability that at least two homes will have a large-screen TV set. ?

d. Find the mean and variance of this probability distribution.

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