Concept explainers
Let X have a Poisson distribution with a mean of 4.
Find
(a)
(b)
(c)
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Probability And Statistical Inference (10th Edition)
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PRACTICE OF STATISTICS F/AP EXAM
- A distribution is given as X ~ U (2, 10). If you draw a graph of the situation, what is the height of the graph? (Express your answer as a decimal.) What is P(3 < x < 6)? (Express your answer as a decimal.) What is P(x = 4)? (Express your answer as a decimal.) What is P(x < 7)? (Express your answer as a decimal.) What is the 75th percentile? What is the 40th percentile? What is the mean? What is the standard deviation? (Round to 2 decimal places.)arrow_forwardSuppose X = time to wait for a cab and you know you're going to wait at least 6 minutes, but no more than 10 minutes. Suppose X has a uniform distribution. What is f(x)? f(x) = 1/6 f(x) = 0 f(x) = 1/10 O f(x) = 1/4arrow_forwardFind P(X=4) if X has a Poisson distribution such that 3P(X=1)=P(X=2)arrow_forward
- Let X ∼ N(2, 4). (a) What is the distribution of (X−2) /2 ?arrow_forward2.) Use the moment generating function you just proved to verify that for a Poisson distribution, E(X) = λ and Var(X) = λ.arrow_forwardThe time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.62. a) find the P(10<x<15) (10 and 15 are seconds) b) find the P(x>15| x>10) (10 and 15 are seconds) c) find the P(x<15) (15 is seconds)arrow_forward
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