1.
A fair coin is flipped
6
times.
(a)
Find the probability that there is exactly
3
heads.
(b)
Find the probability the there are at least
3
heads.
(c)
Find the probability that there is no head.
(d)
Find the expected number of heads.
(e)
Find the standard deviation of the number of heads.
Coin flipped 6 times so total outcomes =2^6 = 32

b) P(at least 3) = P(3) + P(4) + P(5) + P(6)

= 21/32 or 0.65625

d) Mean = n*p = (6)*(1/2) = 3

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