(c)The probability distribution function of a discrete random variable X is as follows. Find 1 3 4 P(X=x) | 0.3 0.2 0.1 0.3 0.1 (i) The expected value of X, E(X) (ii) The variance of V, Var(X) Solution (d) The continuous random variable has probability density function given by Osx<2 f(x) = 23x<4 , otherwise Find the mean and variance

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(c)The probability distribution function of a discrete random variable X is as follows. Find
1
2
4
P(X=x) | 0.3
0.2
0.1
0.3
0.1
The expected value of X, E(X)
(ii)
The variance of V, Var(X)
Solution
(d) The continuous random variable has probability density function given by
Osx<2
1
f(x) =
3
23x<4
otherwise
Find the mean and variance
cs Scanned with CamScanner
Transcribed Image Text:(c)The probability distribution function of a discrete random variable X is as follows. Find 1 2 4 P(X=x) | 0.3 0.2 0.1 0.3 0.1 The expected value of X, E(X) (ii) The variance of V, Var(X) Solution (d) The continuous random variable has probability density function given by Osx<2 1 f(x) = 3 23x<4 otherwise Find the mean and variance cs Scanned with CamScanner
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