а. Holmes Institute conducted a survey about International Students in Melbourne. The survey results are given in the table below. Applied to more than 1 university Yes No 23 and under 207 201 24-26 299 379 Age Group 27-30 185 268 31-35 66 193 36 and over 51 169 Prepare a joint probability table Given that a student applied to more than 1 university, what is the probability that the student is 24-26 years old. i. ii. ii. Is the number of universities applied to independent of student age? Explain b. Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per 1000 families). following probability distribution for x= the number of new clients for counseling for 2021. Working with counselors, a researcher developed the f(x) 10 0.05 20 0.10 30 0.10 40 0.20 50 0.35 60 0.20 i. Compute the expected value and variance of x.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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PART a (iii) and b(i)

Holmes Institute conducted a survey about International Students in Melbourne. The
survey results are given in the table below.
а.
Applied to more than 1 university
Yes
No
23 and under
207
201
24-26
299
379
Age Group
27-30
185
268
31-35
66
193
36 and over
51
169
Prepare a joint probability table
Given that a student applied to more than 1 university, what is the probability that
the student is 24-26 years old.
i.
ii.
iii.
Is the number of universities applied to independent of student age? Explain
b. Assume, North Origano, is a country with highest domestic violence cases (approximately
5 cases per 1000 families). Working with counselors, a researcher developed the
following probability distribution for x= the number of new clients for counseling for 2021.
f(x)
10
0.05
20
0.10
30
0.10
40
0.20
50
0.35
60
0.20
i.
Compute the expected value and variance of x.
Transcribed Image Text:Holmes Institute conducted a survey about International Students in Melbourne. The survey results are given in the table below. а. Applied to more than 1 university Yes No 23 and under 207 201 24-26 299 379 Age Group 27-30 185 268 31-35 66 193 36 and over 51 169 Prepare a joint probability table Given that a student applied to more than 1 university, what is the probability that the student is 24-26 years old. i. ii. iii. Is the number of universities applied to independent of student age? Explain b. Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per 1000 families). Working with counselors, a researcher developed the following probability distribution for x= the number of new clients for counseling for 2021. f(x) 10 0.05 20 0.10 30 0.10 40 0.20 50 0.35 60 0.20 i. Compute the expected value and variance of x.
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