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 0.031 1 0.152 2 0.317 3 0,317 4 5 0.152 0.031 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, the random variable x's number values are not associated with probabilities.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Question
K
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.
Does the table show a probability distribution? Select all that apply.
X
0
1
2
3
4
5
P(x) D
0.031
0.152
0.317
0.317
0.152
0.031
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, the random variable x's number values are not associated with probabilities.
Transcribed Image Text:K 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. Does the table show a probability distribution? Select all that apply. X 0 1 2 3 4 5 P(x) D 0.031 0.152 0.317 0.317 0.152 0.031 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, the random variable x's number values are not associated with probabilities.
K
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.
C
child(ren) (Round to one decimal place as needed.)
X P(x)
0 0.031
1 0.152
2
3
0.317
0.317
0.152
4
5
0.031
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.
OA. p=
OB. 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.
Transcribed Image Text:K 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. C child(ren) (Round to one decimal place as needed.) X P(x) 0 0.031 1 0.152 2 3 0.317 0.317 0.152 4 5 0.031 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. OA. p= OB. 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.
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