In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. 1 4 P(x) 0.061 0.266 0.158 0.146 0.369 .... (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 (b) Graph the discrete probability distribution. Choose the correct graph below. O A. ов. Oc. OD. 0.5- 0.5- 0.5- 0.5- 0.4- 0.4- 0.4- 0.4- Q 0.3- 0.3- 0.3- 0.3- 0.2- 0.1- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1- 0- 3 3 1 3 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O B. The observed value of an experiment will be less than the mean of the random variable in most experiments.
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. 1 4 P(x) 0.061 0.266 0.158 0.146 0.369 .... (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 (b) Graph the discrete probability distribution. Choose the correct graph below. O A. ов. Oc. OD. 0.5- 0.5- 0.5- 0.5- 0.4- 0.4- 0.4- 0.4- Q 0.3- 0.3- 0.3- 0.3- 0.2- 0.1- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1- 0- 3 3 1 3 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O B. The observed value of an experiment will be less than the mean of the random variable in most experiments.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a)
through (f) below.
1
2
3
4
P(x)
0.061
0.266
0.158
0.146
0.369
.... .
(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
(b) Graph the discrete probability distribution. Choose the correct graph below.
O A.
В.
OC.
O D.
0.5-
0.5-
0.5-
0.5-
0.4-
0.4-
0.4-
0.4-
0.3-
0.3-
0.3-
0.3-
0.2-
0.2-
0.2-
0.2-
0.1-
0.1-
0.1-
0.1
0-
0 1
0-
1
2
3
4
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.)
Which of the following interpretations of the mean is correct?
O A. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable.
B. The observed value of an experiment will be less than the mean of the random variable in most experiments.
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