In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (f) below. Describe the shape of the distribution. The distribution is multimodal and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx=0.924 marriages (Type an integer or a decimal. Do not round.) (...) X 0 1 2 3 4 5 P(x) 0.275 0.569 0.119 0.032 0.004 0.001

MATLAB: An Introduction with Applications
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In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in.
Complete parts (a) through (f) below.
Describe the shape of the distribution.
The distribution is multimodal and is skewed right.
(c) Compute and interpret the mean of the random variable X.
Hx = 0.924 marriages
(Type an integer or a decimal. Do not round.)
Which of the following interpretations of the mean is correct?
A. If many individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable.
B. The observed number of marriages will be less than the mean number of marriages for most individuals.
C. The observed number of marriages will be equal to the mean number of marriages for most individuals.
D. If any number of individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable.
(d) Compute the standard deviation of the random variable X.
ох
marriages
(Round to one decimal place as needed.)
(e) What is the probability that a randomly selected individual 15 years or older was involved in two marriages?
=
(Type an integer or a decimal. Do not round.)
(f) What is the probability that a randomly selected individual 15 years or older was involved in at least two marriages?
(Type an integer or a decimal. Do not round.)
P(x)
0.275
1 0.569
0.119
0.032
4 0.004
0.001
XON 3 TE
2
5
Transcribed Image Text:In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (f) below. Describe the shape of the distribution. The distribution is multimodal and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx = 0.924 marriages (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. If many individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. B. The observed number of marriages will be less than the mean number of marriages for most individuals. C. The observed number of marriages will be equal to the mean number of marriages for most individuals. D. If any number of individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. (d) Compute the standard deviation of the random variable X. ох marriages (Round to one decimal place as needed.) (e) What is the probability that a randomly selected individual 15 years or older was involved in two marriages? = (Type an integer or a decimal. Do not round.) (f) What is the probability that a randomly selected individual 15 years or older was involved in at least two marriages? (Type an integer or a decimal. Do not round.) P(x) 0.275 1 0.569 0.119 0.032 4 0.004 0.001 XON 3 TE 2 5
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