C to E KAssume a Poisson distribution. Find the following probabilities.a. Let λ = 7.0, find P(X≥ 3).b. Let λ = 0.5, find P(X ≤ 1).c. Let λ = 2.0, find P(X≤ 2).d. Let λ = 3.6, find P(X≥ 1).e. Let λ = 5.4, find P(X ≤ 3).a. When λ = 7.0, P(X≥ 3) =(Round to three decimal places as needed.)b. When λ = 0.5, P(X≤1)=(Round to three decimal places as needed.)c. When λ = 2.0, P(X≤2) =(Round to three decimal places as needed.)d. When λ = 3.6, P(X≥ 1) =(Round to three decimal places as needed.)e. When λ = 5.4, P(X ≤ 3) =(Round to three decimal places as needed.)Nextv bySAT4110 of 8

Let random variable x~Poisson(λ)P(X=x)=e-λ×λxx! ; x≥0

Answered: c. Let λ = 2.0, find P(X ≤ 2). d. Let λ…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. t V 2 475 B. 4 722 Logistic y= C 1+ ae-bx 9 1748 OC. Exponential (y = a • b*) O D. Linear (y = mx + b) 16 3591 Use the data to construct a scatter plot, then complete the following. 1) Using the scatter plot and the context of the problem, which of the following best describes the pattern? O A. Quadratic (y = ax² + bx + c) 21 4370 24 4541 Approximately how many villagers were at the meeting of the elders? About 4758 villagers were at the meeting. According to the model, about 302 villagers will eventually know the date of the ceremony. 2) Using your calculator and the best of the four methods above, find the…
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c. Let λ = 2.0, find P(X ≤ 2). d. Let λ = 3.6, find P(X≥ 1). e. Let λ = 5.4, find P(X ≤ 3).