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 1 year agoRelated Solutions
A random sample of 100 medical school applicants at a university has a mean total score...
A random sample of 100 medical school applicants at a university
has a mean total score of 498 on the MCAT. According to a report,
the mean total score for the school’s applicants is more than 500.
Assume the population standard deviation is 6.2.
At alpha equals 0.01, is there enough evidence to reject the
report’s
claim?
6.) Identify the null hypothesis, H naught.
7.) Identify the alternative hypothesis, H sub a.
8.) Find the standardized test statistic, z....
A population of N = 15 scores has a mean of μ = 8. One score...
A population of N = 15 scores has a mean of μ = 8. One score in
the population is changed from X = 20 to X = 5. What is the value
for the new population mean?
A sample of n = 9 scores has a mean of M = 20.
One of the scores is changed and the new mean is found to be
M = 22. If the changed score was originally X =
7, what is...
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...
Suppose X~ N (−2,8) . (a) What value of x has a z-score of 3? (b)...
Suppose X~ N (−2,8) .
(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...
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...
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...
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 $100 loan in a project that...
Calculate the Z-score of the firm that has the following ratios: Working capital/total assets = 0.34
Calculate the Z-score of the firm that has the following ratios: Working capital/total assets = 0.34 Retained earnings/total assets = 0.15 EBIT/total assets = 0.00 Market value equity/book value of long-term debt = 0.80 Sales/total assets = 1.6 Round your answer to 2 decimal places. For example, if your answer is 5.689, write down 5.69
a firm has total financing of N$ 20.06 million made up of N$ 14.46 million worth...
a firm has total financing of N$ 20.06 million made up of N$
14.46 million worth of equity and N$ 5.6 million worth of debt. the
after tax cost of debt is N$ 12.8%.
The next dividend is expected to be 10 cents, the current price
is 50 cents ex-dividend and the growth rate is 8%. the firm is
planning to raise N$ 5 million in new equity capital at 50 cents
with floatation costs of 2cents per share.
Calculate...
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