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A coin is tossed 5 times. The probability of tails on any toss is 0.43. Let x denote the number of tails that comes up.

a) Find the probability that tail shows up exactly twice.

b) Find the probability that tail shows up at most once.

c) Find the probability that tail hows up more than twice and less than 5 times.

d) Find the probability that head never appears in all the trails.

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