Question

The random variable X is the number of girls of four children
born to a couple that is equally likely to have either a boy or a
girl. Its probability distribution is as follows

Q24

(a) µ = E(X) = (Round your answer to one decimal place)

(b) σ(X) = (Round your answer to one decimal place)

c) Among all families with four children, what is the average
number of boys?

(Round your answer to one decimal place)

Answer #1

c) Among all families with four children, what is the average number of boys?

Since the male and female birth are equally likely

So the average number of boys in all families with four children are same as average number of girls = 2

**So answer is 2**

1. If a couple plans to have 4 children, what is the probability
that there will be at least one girl? Assume boys and girls are
equally likely.
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4th child is born, given that the first three children were all
boys. Assume boys and girls are equally likely.

1) The random variable X represents the number of girls
in a family of 6 children. Assuming that the event of having boys
and girls are equally likely. Construct the discrete probability
distribution for the random variable X and plot your results. For
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deviation.

Find the probability that when a couple has five children, at
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If the ratio of boys born to girls born is 105 to 100, and if 6
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A married couple decides that they will continue to have
children until they have 3 boys. It is assumed that having a boy or
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please show your work

Boys and Girls: Suppose a couple plans to have
two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gb, gg}{bb, bg, gg} {bb,
gg}{b,g}
(b) What is the probability that the couple has one boy and one
girl?
1
2
3
4
1
4
1
3
(c) What is the probability that the couple will have at least one
girl?
1
4
1
2
3...

Assume that girls and boys are equally likely and the event
"having a girl" does not affect the future/past probability of
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is the probability that she has two boys? Incorrect: Your answer is
incorrect. (enter a fraction) b) What...

Let the random variable x represent the number of girls in a
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probability distribution. If it does, find the mean and standard
deviation. Is it unusual for a family of three children to consist
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x | P(x)
0 | 0.195
1 |...

1) A certain couple is equally likely to have either a boy child
or a girl child. If the family has three children, let X denote the
number of girls. (10-points) a) Identify the possible values of the
random variable X. b) Determine the probability distribution of X
c) Use random variable notation to represent the event that the
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please explain and write out each step you
do.

Problem: Suppose that a couple will have 3 children. Assume that
the probability of having a girl is .487 and the probability of
having a boy is .513. Also assume that x is a random variable for
the number of girls and find the probability where x is 0, 1, 2, or
3. In order words, answer the following probability questions.
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girls?
What is the probability that exactly...

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