In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below. 1 3 4 P(x) 0.406 0.137 0.108 0.158 0.191 Which of the following interpretations of the mean is correct? O A. The observed value of an experiment will be equal to the mean of the random variable in most experiments. O B. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O D. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable x. The standard deviation is activities.
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below. 1 3 4 P(x) 0.406 0.137 0.108 0.158 0.191 Which of the following interpretations of the mean is correct? O A. The observed value of an experiment will be equal to the mean of the random variable in most experiments. O B. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O D. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable x. The standard deviation is activities.
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In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below.
![In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts
(a) through (f) below.
1
2
4
P(x)
0.406
0.137
0.108
0.158
0.191
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because the sum of the probabilities is
and each probability is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F345d6501-0e5b-4f87-895a-5c3abb8f3ac6%2F4b4d1b46-8db8-470c-9c73-54818e3d714f%2Frzd08l2_processed.png&w=3840&q=75)
Transcribed Image Text:In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts
(a) through (f) below.
1
2
4
P(x)
0.406
0.137
0.108
0.158
0.191
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because the sum of the probabilities is
and each probability is
![In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts
(a) through (f) below.
+
+
1
2
3
4
P(x)
0.406
0.137
0.108
0.158
0.191
Which of the following interpretations of the mean is correct?
O A. The observed value of an experiment will be equal to the mean of the random variable in most experiments.
B. As the number of experiments increases, the mean of the observations will approach the mean of the random variable.
C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable.
O D. The observed value of an experiment will be less than the mean of the random variable in most experiments.
(d) Compute the standard deviation of the random variable x.
The standard deviation is
activities.
(Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F345d6501-0e5b-4f87-895a-5c3abb8f3ac6%2F4b4d1b46-8db8-470c-9c73-54818e3d714f%2Fszot7ad_processed.png&w=3840&q=75)
Transcribed Image Text:In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts
(a) through (f) below.
+
+
1
2
3
4
P(x)
0.406
0.137
0.108
0.158
0.191
Which of the following interpretations of the mean is correct?
O A. The observed value of an experiment will be equal to the mean of the random variable in most experiments.
B. As the number of experiments increases, the mean of the observations will approach the mean of the random variable.
C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable.
O D. The observed value of an experiment will be less than the mean of the random variable in most experiments.
(d) Compute the standard deviation of the random variable x.
The standard deviation is
activities.
(Round to one decimal place as needed.)
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