In the following probabilitydistribution, the random variable x represents the number of activities a parent of a K-5th-grade student is involved in. X 0 1 2 3 4 P(x) 0.073 0.154 0.281 0.364 0.128 1. Is this a discrete probability distribution? Yes probability is Between 0+1. 2. What is the probability that a randomly selected student has a parent involved in two activities? P(x-2) = 0.281 3. What is the probability that a randomly selected student has a parent involved in one or two P₁ (4²2) = 0.281 activities? P(x=1 ora) P(x-1) + P(X=2) P ( X = or) = 0,154 +0.281=0.435 P(x = 1) = 0,154 4. Compute the mean of the random variable x. 5. Which of the following interpretations of the mean is correct? 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. c) The observed value of an experiment will be equal to the mean of the random variable in most experiments. d) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.
In the following probabilitydistribution, the random variable x represents the number of activities a parent of a K-5th-grade student is involved in. X 0 1 2 3 4 P(x) 0.073 0.154 0.281 0.364 0.128 1. Is this a discrete probability distribution? Yes probability is Between 0+1. 2. What is the probability that a randomly selected student has a parent involved in two activities? P(x-2) = 0.281 3. What is the probability that a randomly selected student has a parent involved in one or two P₁ (4²2) = 0.281 activities? P(x=1 ora) P(x-1) + P(X=2) P ( X = or) = 0,154 +0.281=0.435 P(x = 1) = 0,154 4. Compute the mean of the random variable x. 5. Which of the following interpretations of the mean is correct? 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. c) The observed value of an experiment will be equal to the mean of the random variable in most experiments. d) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.
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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Transcribed Image Text:In the following probabilitydistribution, the random variable x represents the number of activities a
parent of a K-5th-grade student is involved in.
X
0
1
2
3
4
P(x)
0.073
0.154
0.281
0.364
0.128
1. Is this a discrete probability distribution?
Yes Probability is Between 0+1.
2. What is the probability that a randomly selected student has a parent involved in two activities?
P(x-2)=0.281
3. What is the probability that a randomly selected student has a parent involved in one or two
(x-2)=0.781
activities?
P(x = 1 or 2)
P(^²-1) + P(x-2) P(X-tor) = 0.154+0281=0.435
P(x = 1) = 0,154
4. Compute the mean of the random variable x.
5. Which of the following interpretations of the mean is correct?
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.
c) The observed value of an experiment will be equal to the mean of the random variable in most
experiments.
d) As the number of experiments increases, the mean of the observations will approach the mean
of the random variable.
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