题目
多项选择题
Question at position 18 Which of the following are valid probability functions? Select all that apply. Note that, in this question, f(x)f(x) indicates a continuous probability distribution function, while P(X=x)P(X=x) indicates a discrete probability distribution function.P(X=x)=12,x∈{0,1}P(X=x) = \frac{1}{2}, x \in \{0,1\}f(x)=1−x2,x∈[0,2]f(x) = 1 - \frac{x}{2}, x \in [0,2]f(x)=x,x∈[−1,1]f(x) = x, x \in [-1,1]f(x)=1,x∈[0,2]f(x) = 1, x \in [0,2]P(X=x)=14,x∈{0,1,2,3,4}P(X=x) = \frac{1}{4}, x \in \{0,1,2,3,4 \}P(X=x)=x15,x∈{0,1,2,3,4,5}P(X=x) = \frac{x}{15}, x \in \{0,1,2,3,4,5\}P(X=x)=x15,x∈{1,2,3,4,5}P(X=x) = \frac{x}{15}, x \in \{1,2,3,4,5\}
选项
A.P
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0
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1
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B.f
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C.f
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D.f
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E.P
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F.P
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G.P
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1
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查看解析
标准答案
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思路分析
We’re evaluating which of the given options constitute valid probability functions (either discrete P(X=x) or continuous f(x) as appropriate).
Option 1: P(X=x) = 1/2 for x ∈ {0,1}
- This is a discrete distribution over two outcomes 0 and 1. The probabilities are nonnegative and sum to 1: 1/2 + 1/2 = 1. Therefore, this is a valid discrete probability function.
Option 2: f(x) = 1 − x^2 for x ∈ [0,2]
- As a continuous probability density function, f(x) must be no......Login to view full explanation登录即可查看完整答案
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类似问题
You have 3 points of data with the values 1, 2 and 3. Which distribution is most likely?
Which of the following could not be probability distributions? ExampleA ExampleB Example C x P(x) x P(x) x P(x) 0 .40 1 .10 50 .30 1 . 30 2 .15 60 .30 3 .20 70 .40 4 .15 5 .05
True or False? Consider the following table: x P(X=x) 0 0.32 1 2 0.20 3 0.15 4 -0.05 If P(X=1) is assigned a value of 0.38, then the above distribution is a valid probability distribution.
Which of the following distributions are continuous distributions? Select all that apply.
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