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Aleksandr-060686
18 days ago
15

The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job

to the printer at 10:00 am, and it appears to be third in line. What is the probability that your job will be ready before 10:01
Mathematics
1 answer:
Leona [9.2K]17 days ago
8 0

Answer:

0.8753

Step-by-step explanation:

Determine the likelihood that your job will complete before 10:01 am.

In this scenario, the expected value of an Exponential distribution is E(X)=12.

To find the probability for the third job, we apply the Poisson Distribution with a parameter of 1/λ.

This gives us E(Y) =1/12.

Since the third job is expected to be ready by 10:01 AM, we have E(Y)=61/12.

Hence, the probability sought is

P(X\geq 3)=1-P(X

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

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Answer:

n = 3

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Step-by-step explanation:

Given

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Solving for (a): n

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We will utilize

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Substituting values for XY and XZ

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Solving for (c): XZ

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