A bank manager sees an average of 5.4 new clients in her office every day. If the clients arrive at random throughout the day, determine the probability that she will see 3 clients in her office in the first half of the day today. Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. O Hypergeometric Geometric Poisson ↑

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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A bank manager sees an average of 5.4 new clients in her office every day. If the clients
arrive at random throughout the day, determine the probability that she will see 3
clients in her office in the first half of the day today.
Analyze the given scenario and complete the following:
a. Determine which probability distribution should be used to model the scenario.
O Hypergeometric
Geometric
O Poisson
K
SUBMIT QUESTION
SAVE PROGRESS
SUBMIT A
Transcribed Image Text:A bank manager sees an average of 5.4 new clients in her office every day. If the clients arrive at random throughout the day, determine the probability that she will see 3 clients in her office in the first half of the day today. Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. O Hypergeometric Geometric O Poisson K SUBMIT QUESTION SAVE PROGRESS SUBMIT A
b. Calculate the probability of the indicated event.
P(x)=
Round to 3 significant digits
c. Determine the expected value and variance of the random variable.
E(X)=
A
Variance =
Round to 3 significant digits
←
8
SUBMIT QUESTION
SAVE PROGRESS
Transcribed Image Text:b. Calculate the probability of the indicated event. P(x)= Round to 3 significant digits c. Determine the expected value and variance of the random variable. E(X)= A Variance = Round to 3 significant digits ← 8 SUBMIT QUESTION SAVE PROGRESS
Expert Solution
Step 1

We have given that

 Rate of arrival = λ = 5.4/day
X ~ Poisson (λ)

 

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