2. The following density function describes the random variable X. 0≤x≤5 a. D. c. d. X f(x) = a 10-x 5≤x≤10 a What is a? What is the probability that X lies between 4 and 8? Compute the probability that X is less than 7. Find the mean of X, E(X), and the variance of X, V(X).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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2. The following density function describes the random variable X.
0≤x≤5
a.
b.
C.
d.
f(x) =
X
a
10-x
5≤x≤10
a
What is a?
What is the probability that X lies between 4 and 8?
Compute the probability that X is less than 7.
Find the mean of X, E(X), and the variance of X, V(X).
Transcribed Image Text:2. The following density function describes the random variable X. 0≤x≤5 a. b. C. d. f(x) = X a 10-x 5≤x≤10 a What is a? What is the probability that X lies between 4 and 8? Compute the probability that X is less than 7. Find the mean of X, E(X), and the variance of X, V(X).
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