Consider a Poisson distribution with a mean of 4. What is the probability that X <...

Question

Question

Consider a Poisson distribution with a mean of 4. What is the probability that X < 3?

.238
	0
	.433
	None of these answers are correct

Answer 1

Answer #1

Solution :

Given that ,

mean = = 4

Using Poisson probability formula,

P(X = x) = (e^- * ^x ) / x!

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= (e^-4 * 4⁰⁾ / 0! + (e^-4 * 4¹⁾ / 1! + (e^-4 * 4²⁾ / 2! + (e^-4 * 4³⁾ / 3!

= 0.238

Probability = 0.238

Answer 2

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