If X has Poisson distribution with parameter m = 1, find P[X ≤ 1]. ( – InterviewSolution

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1.

If X has Poisson distribution with parameter m = 1, find P[X ≤ 1]. (Use e –1 = 0.3679)

Answer»

probability of getting head

P = 1/2

q = 1 - 1/2 = 1/2

The probability distribution is as follows

x (No. of heads)	0	1	2	2
P(x)	³C₀(1/2)⁰(1/2)³ = 1/8	³C₁(1/2)¹(1/2)²=3/8	³C₃(1/2)²(1/2)=3/8	³C₃(1/2)³(1/2)⁰=1/8

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