The discrete random variable x has probability distribution given by: X 1 -3 0.1 P(X=X) a Determine: a) The mean value of x (μ). b) The Var(x). c) The probability P(x2 µ). -1 0.4 3 2a 5 0.2

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2) The discrete random variable x has probability distribution given by:
-3
1
0.1
a
X
P(X=x)
Determine:
a) The mean value of x (µ).
b) The Var(x).
0.4
c) The probability P(x2 µ).
3) The continuous random variable x has probability density function of
Calculate for
a. The mean value of x (μ).
b. The standard deviation (o).
C. The probability P(x ≥ μ).
3
2a
f(x)=2-1x
0
5
0.2
0≤x≤3
3≤x≤4
otherwise
Transcribed Image Text:2) The discrete random variable x has probability distribution given by: -3 1 0.1 a X P(X=x) Determine: a) The mean value of x (µ). b) The Var(x). 0.4 c) The probability P(x2 µ). 3) The continuous random variable x has probability density function of Calculate for a. The mean value of x (μ). b. The standard deviation (o). C. The probability P(x ≥ μ). 3 2a f(x)=2-1x 0 5 0.2 0≤x≤3 3≤x≤4 otherwise
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