A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i. e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than the actual sequence of test results.
(a) Derive the maximum likelihood estimator of p.
(b) Is the estimator of part (a) unbiased?
(c) If n = 20 and x = 8, what is the mle of the probability (1 - p) 5 that none of the next five tests done on disease-free individuals are positive? (Round your answer to four decimal places.)
Answers (1)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
Marissa found that 12 of the 50 people she surveyed like lemon in their tea. How many of the 4,500 people in his town would you expect to also like lemon in their tea?
Answers (1)
Which description can be written as the expression 6b+5
Answers (1)
the temperature of dry ice is - 109.5°F this is 184.2°F less than the outside temperature. What is the outside temperature?
Answers (1)
Simplify the following expression: 4n - m + 3p + 2m - n - p A: 3n + m + 2p B: 3n + 5m - 2p C: 5n + 3m + 4p D: 5n + m - p
Answers (2)
There are 1 1/2 pounds of bricks in a bag. Each brick weighs 1/6 of a pound. How many bricks are in the bag? Write your answer as a fraction or as a whole or mixed number.
No Answers
New Questions in Mathematics
The Science Club has 35 members, 10 girls and 25 boys. What is the ratio of girls to boys in the Science Club? A. 2:1 B. 2:5 C. 5:2
Answers (2)
The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
Answers (1)
1. Which equation represents the linear graph? A) y = 2x - 4 B) y = 2x + 4 C) y = 4x - 2 D) y = 4x + 2
Answers (1)
Mary has $500 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account? A) $180 B) $230 C) $290 D) $340
Answers (2)
A function g (x) has x-intercepts at (1/2,0) and (6,0). Which could be g (x) ? g (x) = 2 (x + 1) (x + 6) g (x) = (x-6) (2x - 1) g (x) = 2 (x - 2) (x-6) g (x) = (x + 6) (x + 2)
Answers (2)