Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to six decimal places.) P (x = 0)

Question

Mathematics

Dennis Boone

28 May, 04:16

Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to six decimal places.) P (x = 0)

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Frederick Murray · Answer 1

Answer: 1

Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as

P (x=r) = e^-u * u^x/x!

For this question, x = 0 and u = 9.5

Hence we have that

P (x=0) = e^-0 * 9.5^0 / 0!

P (x=0) = 1 * 1 / 1 = 1