Suppose that the probabilities are 0.2, 0.4, 0.3, and 0.1, respectively, that 0, 1, 2, or 3 power failures will strike a certain subdivision in any given year. Find the mean and variance of the random variable X representing the number of power failures striking this subdivision. ... Calculate the mean, μ. The mean is. (Round to two decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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Suppose that the probabilities are 0.2, 0.4, 0.3, and 0.1, respectively, that 0, 1, 2, or 3
power failures will strike a certain subdivision in any given year. Find the mean and
variance of the random variable X representing the number of power failures striking this
subdivision.
Calculate the mean, μ.
The mean is (Round to two decimal places as needed.)
Transcribed Image Text:Suppose that the probabilities are 0.2, 0.4, 0.3, and 0.1, respectively, that 0, 1, 2, or 3 power failures will strike a certain subdivision in any given year. Find the mean and variance of the random variable X representing the number of power failures striking this subdivision. Calculate the mean, μ. The mean is (Round to two decimal places as needed.)
Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given in the
accompanying table. Determine the covariance between X and Y.
Click the icon to view the joint probability distribution of X and Y.
OXY =
(Type an integer or a decimal. Do not round.)
Machine Malfunctions
y
f(x,y)
1
3
5
1
0.10
0.05
0.00
X
2
0.10
0.05
0.25
3
0.05
0.35
0.05
-
X
Transcribed Image Text:Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given in the accompanying table. Determine the covariance between X and Y. Click the icon to view the joint probability distribution of X and Y. OXY = (Type an integer or a decimal. Do not round.) Machine Malfunctions y f(x,y) 1 3 5 1 0.10 0.05 0.00 X 2 0.10 0.05 0.25 3 0.05 0.35 0.05 - X
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