If n 20 and x 3 what is the mle of the probability 1

If n 20 and x 3 what is the mle of the probability 1 - p5

Assignment Help Basic Statistics

Reference no: EM13614679

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.

If n = 20 and x = 3, what is the estimate?

(b) Is the estimator of part (a) unbiased?

(c) If n = 20 and x = 3, what is the mle of the probability (1 - p)^5 that none of the next five tests done on disease-free individuals are positive?

Reference no: EM13614679

Questions Cloud

Lab11 : ltbrgt

Hrm hello please i would like to this assignment to be : hello ltbrgt please i would like to this assignment to be really authentic and not rushed.will wait for a feedback

Explain what changes should be made to clearvoices : clear voice company a communications equipment manufacturerrecently fell victim to a fraud scheme developed by one of

There are 40 students in an elementary statistics class on : there are 40 students in an elementary statistics class. on the basis of years of experience the instructor knows that

If n 20 and x 3 what is the mle of the probability 1 - p5 : a diagnostic test for a certain disease is applied to n individuals known to not have the disease. let x the number

The mean and the standard deviation of the sample of 100 : the mean and the standard deviation of the sample of 100 bank customer waiting times in table 1.8 are xbar5.49 and

Use the binomial function to answer the following questions : use the binomial function to answer the following questions there is no data set here suppose a shipment of 410

User Account

All Pages