Question
In: Math
Each applicant has a score. If there are a total of n applicants then each applicant...
Each applicant has a score. If there are a total of n applicants then each applicant whose score is above sn is accepted, where s1 = .2, s2 = .4, sn = .5,n ≥ 3. Suppose the scores of the applicants are independent uniform (0, 1)random variables and are independent of N, the number of applicants, which is Poisson distributed with mean 2. Let X denote the number of applicants that are accepted. Derive expressions for (a) P(X=0). (b) E[X].
Solutions
milcah answered 2 years agoRelated Solutions
A random sample of 100 medical school applicants at a university has a mean total score...
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Calculate the mean and median from the grouped data. Exam Score Number of Applicants 61-65 20...
Calculate the mean and median from the grouped data.
Exam Score
Number of Applicants
61-65
20
66-70
13
71-75
47
76-80
56
81-85
33
86-90
27
91-95
41
96-100
34
Test A Score Respondent X Y &n
Test
A Score
Respondent X Y x-x (
x-x)
2
y-y (
y-y) 2 ( x-x) (
y-y)
Jones
77
51
24.8
615.04
7.8
60.84
193.44
Dunn
66
59
13.8
190.44
15.8
249.64
218.04
Dean
41
44
-11.2
125.44
0.8
0.64
-8.96
Hampton
47
34
-5.2
27.04
-9.2
84.64
47.84
Nichols
32
28
-22.2
492.84
-15.2
231.04
337.44
Test
B Score
Respondent X Y x-x (
x-x)
2
y-y (
y-y) 2 ( x-x) (
y-y)
Jones
50
51
-3.4
11.56
7.4
54.76
-25.16
Dunn
38
69
-15.4
237.16
25.40
645.16
-391.16
Dean
58...
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(a) What value of x has a z-score of 3?
(b) What value of x has a z-score of −2.7 ?
(c) What is the z-score of x =−3 ?
You are a banker and are confronted with a pool of loan applicants, each of whom...
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probability 0.8 and nothing with probability 0.2 one period hence.
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You are a banker and are confronted with a pool of loan applicants, each of whom...
You are a banker and are confronted with a pool of loan
applicants, each of whom can be either low risk or high risk. There
are 600 low-risk applicants and 400 highrisk applicants and each
applicant is applying for a $100 loan. A low-risk borrower will
invest the $100 loan in a project that will yield $150 with
probability 0.8 and nothing with probability 0.2 one period hence.
A high-risk borrower will invest the $100 loan in a project that...
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