Buses arrive at the station according to a Poisson process at a rate of lambda = 0.4 per minute. Assume at the starting condition is time = 0. Imagine when a bus stops, the probability 1 person gets off at the bus station is p = 0.7, and the probability 2 people

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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b and c part Buses arrive at the station according to a Poisson process at a rate of lambda = 0.4 per minute. Assume at the starting condition is time = 0. Imagine when a bus stops, the probability 1 person gets off at the bus station is p = 0.7, and the probability 2 people get off is p = 0.3, independent of everything else. Let X denote the number of people that get off at the bus station in the first 5 minutes. a) Find E[X] b) Calculate P{X = 2} c) Compute Var(X)
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