Question

Consider the probability distribution of X, where X is the number of job applications completed by a college senior through the Career Center before getting a job. This is a made-up example. X=0 X=1 X=2 X=3 X=4 X=5 X=6 X=7 P(X) 0.002 0.011 0.115 0.123 0.144 0.189 0.238 0.178 Q1. What’s the probability of at least 4 completed applications? Q2. What’s the probability of at most 4 completed applications? Q3. What’s the probability of at least one completed application? Q4. What is the shortcut for answering the previous problem? Q5. Find the expected number of job applications per student. Q6. The career center charges $10 per application and there are 1200 seniors. What is the expected revenue from job application fees? Q7. The standard deviation of X is 2.809. Give an interval of typical values for X, the number of job applications completed by a college senior through the Career Center before getting a job. Q8. Would completing 7 job applications before getting a job be considered unusual? Explain how you know. Q9. Does the table above describe the probability distribution of X? Explain how you know.

          Consider the probability distribution of X, where X is
the number of job applications completed by a college senior
through the Career Center before getting a job. This is a made-up
example.
X=0
X=1
X=2
X=3
X=4
X=5
X=6
X=7
P(X)
0.002
0.011
0.115
0.123
0.144
0.189
0.238
0.178
Q1. What’s the probability of at least 4 completed
applications?
Q2. What’s the probability of at most 4 completed
applications?
Q3. What’s the probability of at least one completed
application?
Q4. What is the shortcut for answering the previous
problem?
Q5. Find the expected number of job applications per
student.
Q6. The career center charges $10 per application and
there are 1200 seniors.  What is the expected revenue from job
application fees?
Q7. The standard deviation of X is 2.809. Give an
interval of typical values for X, the number of job applications
completed by a college senior through the Career Center before
getting a job.
Q8. Would completing 7 job applications before getting a
job be considered unusual? Explain how you know.
Q9. Does the table above describe the probability
distribution of X? Explain how you know.

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Added by Levi J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Kari Hasz

03/14/2023

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Consider the probability distribution of X, where X is the number of job applications completed by a college senior through the Career Center before getting a job. This is a made-up example. X=0 X=1 X=2 X=3 X=4 X=5 X=6 X=7 P(X) 0.002 0.011 0.115 0.123 0.144 0.189 0.238 0.178 Q1. What’s the probability of at least 4 completed applications? Q2. What’s the probability of at most 4 completed applications? Q3. What’s the probability of at least one completed application? Q4. What is the shortcut for answering the previous problem? Q5. Find the expected number of job applications per student. Q6. The career center charges $10 per application and there are 1200 seniors. What is the expected revenue from job application fees? Q7. The standard deviation of X is 2.809. Give an interval of typical values for X, the number of job applications completed by a college senior through the Career Center before getting a job. Q8. Would completing 7 job applications before getting a job be considered unusual? Explain how you know. Q9. Does the table above describe the probability distribution of X? Explain how you know.

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Transcript

00:01 Consider the probability distribution with the following information.

00:06 So we have x and p of x.

00:10 So we have 0, 1, 2, 3, 4, 5, 6, and 7.

00:14 We have 0 .002, 0 .11, 1 .1, 0 .1, 115, 0 .123, 0 .14, 0 .189, 0 .238, and 0 .178.

00:28 So question one, what's the probability that at least four complete an application? so we're just going to add together 4, 5, 6, and 7's probability, and that's 0 .749.

00:48 What's the probability that no more than 4? so in this case, we're going to add together 0123 and 4's probability, and that's 0 .395.

01:03 Probability that at least one.

01:07 So you can do this one of two ways.

01:08 Question four is actually the way i did it because it says what's a shortcut? take one minus the probability of zero.

01:14 And that's what i did because one minus the probability of zero is .998.

01:19 And i can find that by adding one through seven together, but it's a little faster to do the subtracting.

01:26 For question five, find the expected number of job applications per student.

01:30 Now to do that, i need to do a little work.

01:33 So first i need to take x times the probability of x.

01:36 I used, again, i used my statistical software, i used in my case of graphing calculator, to accomplish this quickly.

01:52 So first we're going to multiply x times the probability.

01:56 Then we're going to add them together...

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