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. to + 2 4 P(x) 0.416 0.313 0.105 0.063 0.103 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OC. OD. 0.5- 0.5- 0.5- 0.- 0.4- 0.4- 1 0.4- 0.4- 0.3- 0.2- 0.3- 0.3- 0.3- 0.2- 0.1- 0.2- 0.2- 0.1- 0.1- 0.1- 0- 2 3 2 3 2 4 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.)

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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.
+
+
1
2
4
P(x)
0.416
0.313
0.105
0.063
0.103
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive.
(b) Graph the discrete probability distribution. Choose the correct graph below.
O A.
В.
OC.
OD.
0.5-
0.5-
0.5-
0.5-
0.4-
0.4-
0.4-
0.4-
0.3- 1
0.3-
0.3-
0.3-
0.2-
0.2-
0.2-
0.2-
0.1-
0.1-
0.1-
0.1-
0-
0-
0-
0-
1
3
4
1
3
4
1
3
4
1
3
4
(c) Compute and interpret the mean of the random variable x.
The mean is
activities.
(Type an integer or a decimal. Do not round.)
N.
N.
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) 0.416 0.313 0.105 0.063 0.103 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. O A. В. OC. OD. 0.5- 0.5- 0.5- 0.5- 0.4- 0.4- 0.4- 0.4- 0.3- 1 0.3- 0.3- 0.3- 0.2- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1- 0.1- 0- 0- 0- 0- 1 3 4 1 3 4 1 3 4 1 3 4 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.) N. N.
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