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
0.032
1
0.147
2
0.321
3
0.321
4
0.147
5
0.032
Does the table show a probability distribution? Select all
that apply.
A.
Yes, the table shows a probability distribution.
B.
No, the sum of all the probabilities is not equal to 1.
C.
No, not every probability is between 0 and 1 inclusive.
D.
No, the random variable x's number values are not
associated with probabilities.
E.
No, the random variable x is categorical instead of
numerical.
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=nothing
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=nothing
child(ren) (Round to one decimal place as needed.)
B.
The table does not show a probability distribution.