(a) A discrete random variable, X, has the following probability function P(x) 03 -2 -1 12 p(x) 0.3 0.2 0.2 0.3 1. Find P(X > -1). 0-5 2. Find P(X³ >1). 0.5 3. Find E(X²). 4 (0.3) + 1 (0.2) +1 (0.2) + 4(0.3) 1.2 +0.0 + 0.a + la 4. Find the corresponding cumulative distribution function (CDF) of X, denoted F(x). Write an equation for the CDF.

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(a) A discrete random variable, X, has the following probability function
-2 -1 1 2
0.2 0.2 0.3
1. Find P(X > -1).
0-5
2. Find P(X³ >1).
0.5
3. Find E(X²).
X
p(x) 0.3
4 (0.3) + 1 (0.2) +1 (0.2) + 4(0.3)
1.2 +0.0 + 0.a + 1.2
2.8
4. Find the corresponding cumulative distribution function (CDF) of X, denoted
F(x). Write an equation for the CDF.
Transcribed Image Text:(a) A discrete random variable, X, has the following probability function -2 -1 1 2 0.2 0.2 0.3 1. Find P(X > -1). 0-5 2. Find P(X³ >1). 0.5 3. Find E(X²). X p(x) 0.3 4 (0.3) + 1 (0.2) +1 (0.2) + 4(0.3) 1.2 +0.0 + 0.a + 1.2 2.8 4. Find the corresponding cumulative distribution function (CDF) of X, denoted F(x). Write an equation for the CDF.
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