Name: Hour: 1. Let Y the number of siblings for a student at a local high school. Suppose we choose someone from the school at random. The probability distribution of Y is as Date: follows Y 2 3. 4. 5+ Probability 0.02 0.25 0.35 0.20 0.10 0.08 (a) Is Y a discrete or continuous? Explain. (b) Is this a valid probability distribution? Explain. (c) Create a histogram for the probability distribution and describe its shape. (d) Find the probability that the randomly selected student has at least one sibling. (e) Describe in words what P(Y>2) means and find the probability. (f) Calculate the mean of Y. Interpret this in context. (g) The standard deviation is 1.236. Interpret this in context. © 2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e

MATLAB: An Introduction with Applications
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Hour:
1. Let Y the number of siblings for a student at a local high school. Suppose we
choose someone from the school at random. The probability distribution of Y is as
Name:
Date:
follows.
Y
2.
3.
4
5+
Probability 0.02
0.25
0.35
0.20
0.10
0.08
(a) Is Y a discrete or continuous? Explain.
(b) Is this a valid probability distribution? Explain.
(c) Create a histogram for the probability distribution and describe its shape.
(d) Find the probability that the randomly selected student has at least one sibling.
(e) Describe in words what P(Y>2) means and find the probability.
(f) Calculate the mean of Y. Interpret this in context.
(g) The standard deviation is 1.236. Interpret this in context.
© 2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e
Transcribed Image Text:Hour: 1. Let Y the number of siblings for a student at a local high school. Suppose we choose someone from the school at random. The probability distribution of Y is as Name: Date: follows. Y 2. 3. 4 5+ Probability 0.02 0.25 0.35 0.20 0.10 0.08 (a) Is Y a discrete or continuous? Explain. (b) Is this a valid probability distribution? Explain. (c) Create a histogram for the probability distribution and describe its shape. (d) Find the probability that the randomly selected student has at least one sibling. (e) Describe in words what P(Y>2) means and find the probability. (f) Calculate the mean of Y. Interpret this in context. (g) The standard deviation is 1.236. Interpret this in context. © 2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e
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The probability distribution of number of siblings of students is given as:

Y 0 1 2 3 4 5+
Probability 0.02 0.25 0.35 0.20 0.10 0.08

 

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