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. o o o oo A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. X P(x) 0.027 0 1 0.147 2 0.326 3 0.326 4 0.147 5 0.027 E. No, the random variable x is categorical instead of numerical.

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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12. Please answer the following question.
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.
P(x) O
0.027
0.147
0.326
0.326
X
0
1
2
3
4 0.147
5
0.027
A. Yes, the table shows a probability distribution.
B. No, the random variable x's number values are not associated with probabilities.
C. No, not every probability is between 0 and 1 inclusive.
D. No, the sum of all the probabilities is not equal to 1.
E. No, the random variable x is categorical instead of numerical.
Transcribed Image Text: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. P(x) O 0.027 0.147 0.326 0.326 X 0 1 2 3 4 0.147 5 0.027 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x is categorical instead of numerical.
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