Question

QUESTION 1

Given a that arrivals in GCB follows a Poisson distribution with a
random average rate write a MATLAB programme to simulate

i) The graph of the probability distribution of arrivals

ii) The graph for the cumulative distribution

iii) The expected time

iv) Determine I, ii, and iii in (Q1) for the waiting time of the customers in the above bank given a random rate.

Answer #1

**probability distribution of arrivals**

Compute the probability distribution of arrivals with parameter lambda = 9.

x = 0:20;

y = poisspdf(x,9);

Plot the pdf with bars of width 1.

figure

bar(x,y,1)

xlabel('Observation')

ylabel('Probability')

**Cumulative Distribution**

Compute the cdf of thecumulative distribution with parameter lambda = 4.

x = 0:20;

y = poisscdf(x,10);

Plot the cdf.

figure

stairs(x,y)

xlabel('Observation')

ylabel('Cumulative Distribution')

2. The waiting time between arrivals at a Wendy’s drive-through
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a. Poisson random variable with μ=15
b. Poisson random variable with μ=4
c. Exponential random variable with ?=15
d. Exponential random variable with ?=4

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