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Pat is required to sell candy bars until five of them have been sold. So the...

Pat is required to sell candy bars until five of them have been sold. So the child goes door to door. At each house, there is 0.4 probability to sell a candy bar. a) what is probability that Pat finishes on seventh house or less? b) what is the average number of houses Pat should visit to sell 3 candy bars

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Answer #1

probability that Pat finishes on seventh house or less=1-P(sell at most 4 candy till 7th house)

=1-P(X<=4)

=1-(7C0)*(0.4)0(0.6)7-(7C1)*(0.4)1(0.6)6-(7C2)*(0.4)2(0.6)5-(7C3)*(0.4)3(0.6)4-(7C4)*(0.4)4(0.6)3

=0.0963

b)

average number of houses Pat should visit to sell 3 candy bars =r/p=5/0.4 =12.5

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