Homework Answers
Here, the couple decides to have children until a daughter is born. The no. of children will follow a geometric distribution, with probability of a daughter born being p. We know that, the expectation of a random variable which follows geometric distribution is 1/p. So, the expected number of children this couple will have is 1/p.
Ans). The expected number of children is given by 1/p.
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Five brothers and their wives decide to have children until each family has two female children....
Five brothers and their wives decide to have children until each
family has two female children. What is the pmf of X = the
total number of male children born to the brothers? (Enter
combinations using the formula
n
r
=
n!
r!(n − r)!
.
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to continue to have children until they have one of each gender, what would the average...
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2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
Five brothers and their wives decide to have children until each
family has two female children. What is the pmf of X = the
total number of male children born to the brothers? (Enter
combinations using the formula
n
r
=
n!
r!(n − r)!
.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageFive brothers and their wives decide to have children until each family has two female children....
A couple wants to have 2 boys and 2 girls. They will continuous to have children until they have reached the goal. Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible. Assuming that their goal is possible and has been fulfilled today! a. What is the probability that they have exactly two boys? b. What is the probability that they...
to continue to have children until they have one of each gender, what would the average umber of children be? Assume that boys and gitls are equally likely. Let the digits 0 to 4 represent a male child and the digits 5 to 9 represent a temale child Twenty riats were randomly generated. Use each of the numbers as a separate trial my and John want to have both a male and a female child If they decide 26 26...
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