Question

Suppose that cars arrive at an event in accordance with a Poisson rate 200 per day. If the number of people in each car is independent and takes on the values 1, 2, 3, 4 with respective probabilities 1/10, 1/5, 1/5, 1/2. a. What is the expected value of the number of individuals going this event during a fixed six-day period? Show your calculations. b. What is the variance of the number of individuals going this event during a fixed six-day period? Show your calculations.

Name: suppose that cars arrive at an event in accordance with a poisson rate 200 per day if the number of people in each car is independent and takes on the values 1 2 3 4 with respective probabil 91424
Uploaded: 2022-06-20T13:57:36-08:00
Duration: 3 min 25 s
Channel: Prabhakar Kumar
Description: suppose that cars arrive at an event in accordance with a poisson rate 200 per day if the number of people in each car is independent and takes on the values 1 2 3 4 with respective probabil 91424

          Suppose that cars arrive at an event in accordance with a
Poisson rate 200 per day. If the
number of people in each car is independent and takes on the values
1, 2, 3, 4 with respective
probabilities 1/10, 1/5, 1/5, 1/2.
a. What is the expected value of the number of individuals
going this event during
a fixed six-day period? Show your calculations.
b. What is the variance of the number of individuals going this
event during a
fixed six-day period? Show your calculations.

Added by Tracy J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Prabhakar Kumar

06/20/2022

Step 1

Given: - Number of cars arriving per day: 200 - Number of people in each car with respective probabilities: 1 (1/10), 2 (1/5), 3 (1/5), 4 (1/2) Expected value (E[X]) = Σ(X * P(X)) E[X] = (1 * 1200 * 1/10) + (2 * 1200 * 1/5) + (3 * 1200 * 1/5) + (4 * 1200 * Show more…

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Suppose that cars arrive at an event in accordance with a Poisson rate 200 per day. If the number of people in each car is independent and takes on the values 1, 2, 3, 4 with respective probabilities 1/10, 1/5, 1/5, 1/2. a. What is the expected value of the number of individuals going this event during a fixed six-day period? Show your calculations. b. What is the variance of the number of individuals going this event during a fixed six-day period? Show your calculations.