Five males with an X-linked genetic disorder have one
child each. The random variable x is the number of children among
the five who inherit the X-linked genetic disorder. Determine
whether a probability distribution is given. If a probability
distribution is given, find its mean and standard deviation.
If a probability distribution is not given, identify the
requirements that are not satisfied.
x P(x)
0 0.034
1 0.158
2 0.308
3 0.308
4 0.158
5 0.034
Does the table show a probability distribution?
Select all that apply.
A. Yes, the table shows a probability distribution.
B. No, the random variable x is categorical instead of
numerical.
C. No, the sum of all the probabilities is not equal to 1.
D. No, not every probability is between 0 and 1 inclusive.
E. No, the random variable x's number values are not
associated with probabilities.
Find the mean of the random variable x. Select the
correct choice below and, if necessary, fill in the
answer box to complete your choice.
A. μ = __ child(ren) (Round to one decimal place
as needed.)
B. The table does not show a probability distribution.
Find the standard deviation of the random variable x.
Select the correct choice below and, if necessary, fill
in the answer box to complete your choice.
A. σ = __ child(ren) (Round to one decimal place
as needed.)
B. The table does not show a probability distribution.