Question 656554
3) Use a simulation of 20 families to estimate the probability of having at least 3 girls in a family of 5 children
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Randomly generate a set of 5 digits where the selection choices are 0 and 1.
Let 0 represent girl birth; let 1 represent boy birth.
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Mske the selection 20 times. Count the number of times you get at least
3 0's.  That number divided by 20 is the simulation probability.
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The theoretical probability of 3 girls in a fam of 5 is 5C3(1/2)^5 = 10/32
or 6.25/20
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4) a) Determine the number of ways that 8 girls and 2 boys can be arranged in a sequence.
Answer 10C2 = (10*9)/(1*2) = 45 ways
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b) Determine the probability of getting 8 girls and 2 boys among 10 births.
Ans: 45/2^10 = 45/1024
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5) Water samples from 6 public swimming areas are combined for one test regarding bacteria content. Further testing is done if the combined test fails. Past results have shown that there is a 2% chance of an unacceptably high bacteria level. Determine the probability that the combined sample will fail.
P(fail) = 1 - P(all samples are "good") = 1 - (0.98)^6 = 0.1142
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Cheers,
Stan H.