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 | + + 0.287 0.105 0.288 0.245 O A. X P(x) 0.5- 0.4- 0.3- 0.2- 0.1- 0 +0.21 (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. 0 1 2 3 Q Q G OB. 0.5- 0.4- 0.34 0.2- 0.1+ 0- 4 0.075 0 (c) Compute and interpret the mean of the random variable x The mean is activities. (Type an integer or a decimal. Do not round.) 1 2 3 4 Q Q O C. 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 Q ✔ D. 0.5 0.4- 0.3+ 0.2- 0.1- 0- 0 1 2 3 Q
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 | + + 0.287 0.105 0.288 0.245 O A. X P(x) 0.5- 0.4- 0.3- 0.2- 0.1- 0 +0.21 (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. 0 1 2 3 Q Q G OB. 0.5- 0.4- 0.34 0.2- 0.1+ 0- 4 0.075 0 (c) Compute and interpret the mean of the random variable x The mean is activities. (Type an integer or a decimal. Do not round.) 1 2 3 4 Q Q O C. 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 Q ✔ D. 0.5 0.4- 0.3+ 0.2- 0.1- 0- 0 1 2 3 Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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.
0
1
0.287
0.105
O A.
X
P(x)
0.5-
0.4-
0.3+
0.2-
0.14
0-
0
3
2
0.288
(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.
Q
3
0.245
B.
0.5-
0.4-
0.3+
0.2+
0.1+
4
0.075
0
(c) Compute and interpret the mean of the random variable x.
The mean is activities.
(Type an integer or a decimal. Do not round.)
1
D
2
(...)
3
O C.
0.5-
0.4-
0.3-
0.2+
0.1-
0-
0
1
3
✔
D.
0.5-
0.4-
0.3+
0.2-
0.1+
0 1
2
3
Expert Solution

Step 1
Answer:- Given probability distribution table is,
X | 0 | 1 | 2 | 3 | 4 |
P(x) | 0.287 | 0.105 | 0.288 | 0.245 | 0.075 |
Using formula,
Mean = expected value = Σ(X*P(x))
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman