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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. + O A. X 0 1 + + P(x) 0.287 0.105 0.5- 0.4- 0.3 0.2- 0.1- 0 1 2 3 (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 Q + + G 2 0.288 3 0.245 O B. 0.5- 0.4+ 0.3 0.2- 0.1- 4 0.075 0 1 2 (c) Compute and interpret the mean of the random variable x. The mean is 1.716 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? Q (d) Compute the standard deviation of the random variable x. The standard deviation is activities. (Round to one decimal place as needed.) O C. 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 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. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the random variable in most experiments. Q Q D. 0.5- 0.4- 0.3+ 0.2+ 0.1- 0 1 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. + O A. X 0 1 + + P(x) 0.287 0.105 0.5- 0.4- 0.3 0.2- 0.1- 0 1 2 3 (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 Q + + G 2 0.288 3 0.245 O B. 0.5- 0.4+ 0.3 0.2- 0.1- 4 0.075 0 1 2 (c) Compute and interpret the mean of the random variable x. The mean is 1.716 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? Q (d) Compute the standard deviation of the random variable x. The standard deviation is activities. (Round to one decimal place as needed.) O C. 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 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. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the random variable in most experiments. Q Q D. 0.5- 0.4- 0.3+ 0.2+ 0.1- 0 1 3 Q

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. 0 1 0.105 0.287 OA. X P(x) 0.5 0.4- 0.34 0.2- 0.1- 0 2 3 toi (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. 4 2 0.288 Q 3 0.245 O B. 0.5- 0.4+ 0.3- 0.2- 0.1- 0- 4 0.075 (c) Compute and interpret the mean of the random variable x. The mean is 1.716 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? 1 (d) Compute the standard deviation of the random variable x. The standard deviation is activities. (Round to one decimal place as needed.) 3 4 (...) Q O C. 0.5- 0.4- 0.3+ 0.2+ 0.1+ 0- Ó 2 3 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. O C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the random variable in most experiments. Q D. 0.5- 0.4- 0.34 0.2- 0.1- 0- 0 1 o 1
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 0.105 0.287 OA. X P(x) 0.5 0.4- 0.34 0.2- 0.1- 0 2 3 toi (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. 4 2 0.288 Q 3 0.245 O B. 0.5- 0.4+ 0.3- 0.2- 0.1- 0- 4 0.075 (c) Compute and interpret the mean of the random variable x. The mean is 1.716 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? 1 (d) Compute the standard deviation of the random variable x. The standard deviation is activities. (Round to one decimal place as needed.) 3 4 (...) Q O C. 0.5- 0.4- 0.3+ 0.2+ 0.1+ 0- Ó 2 3 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. O C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the random variable in most experiments. Q D. 0.5- 0.4- 0.34 0.2- 0.1- 0- 0 1 o 1
Expert Solution
Step 1

Answer:- Given probability distribution table is, 

X 0 1 2 3 5
P(x)  0.287 0.105 0.288 0.245 0.075

Using formula, 

Standard deviation = √{E(x2)-E(x)2}

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