(1) 设随机变量 X 服从参数为 3 的泊松分布, 且 Z = 3X+2, 则 E(Z) = Let X has a Poisson distribution with parameter 3, and Z = 3X+2. Then E(Z)= 0, x ≤ 0, 4. (2)已知随机变量 X 的分布函数为 F(x) 0<æ<1/4,则E(X) =

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1. Fill in the blank
(1) 设随机变量 X 服从参数为 3 的泊松分布, 且 Z = 3X+2, 则 E(Z)
Let X has a Poisson distribution with parameter 3, and Z = 3X+2. Then E(Z)
x ≤ 0,
(2) X H¤ F(x) =
E(3X²+2X) =
Let the CDF of X be F(x):
=
0,
4x,
1,
E(3X²+2X) =
(3) 设随机变量X的分布律为
E(X²) =
Let the probability distribution of X be
E(X²) =
E(3X + 5) =
X
Р
E(3X + 5)
-
0,
4x,
1,
x ≤ 0,
0< x≤ 1/4, Then E(X)
x > 1/4.
-2 0 2
0.3
0.3 0.4
X
Р
0 < x≤ 1/4, E(X) =
x > 1/4.
JE(X)=
-2 0
2
0.3 0.3 0.4
=
Then E(X)=
=
=
Transcribed Image Text:1. Fill in the blank (1) 设随机变量 X 服从参数为 3 的泊松分布, 且 Z = 3X+2, 则 E(Z) Let X has a Poisson distribution with parameter 3, and Z = 3X+2. Then E(Z) x ≤ 0, (2) X H¤ F(x) = E(3X²+2X) = Let the CDF of X be F(x): = 0, 4x, 1, E(3X²+2X) = (3) 设随机变量X的分布律为 E(X²) = Let the probability distribution of X be E(X²) = E(3X + 5) = X Р E(3X + 5) - 0, 4x, 1, x ≤ 0, 0< x≤ 1/4, Then E(X) x > 1/4. -2 0 2 0.3 0.3 0.4 X Р 0 < x≤ 1/4, E(X) = x > 1/4. JE(X)= -2 0 2 0.3 0.3 0.4 = Then E(X)= = =
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