Question1:3 tables listed below show "random variables" and their "probabilities." However, only one of these is actually a probability distribution.
[A]Which is it?
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A
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B
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C
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X
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P(x)
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X
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P(x)
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X
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P(x)
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5
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0.1
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5
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0.1
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5
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0.1
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10
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0.1
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10
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0.1
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10
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0.1
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15
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0.2
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15
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0.2
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15
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0.1
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20
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0.6
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20
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0.7
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20
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1
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[B] Using the correct probability distribution, find the following probabilities:
P(x is exactly 15) = _____
P(x is no more than 10) = _____
P(x is more than 5) = _____
[C] Calculate the mean, variance, and standard deviation of this distribution. (Give your answers to two decimal places.)
Mean µ= _____
Variance σ2= _____
Standard deviation σ = _____
Question2: In a Poisson distribution µ = 0.3 (Round your answers to 4 decimal places.)
[A] What is the probability that X = 3
[B] What is the probability that X > 3