Problem 4. There are two Certified Public Accountants (CPAs) in a particular office who propare tax returns for clients. Suppose that for a particular type of complex form, the number of errors made by the first preparer has a Poisson distribution with mean value μ1, the number of errors made by the second preparer has a Poisson distribution with mean value μ2, and that each CPA prepares the same number of forms of this type. Then, if a form of this type is randomly selected, the function e -με μ p(x; M1, M2) = 0.6- +0.4. x! x = 0, 1, 2,... x! gives the probability mass function of X: the number of errors on the selected form. a. Verify that p (x; μ₁, μ2) is a legitimate probability mass function. b. What is the expected number of errors on the selected form? C. What is the variance of the number of errors on the selected form?

Problem 4. There are two Certified Public Accountants (CPAs) in a particular office who propare tax returns for clients. Suppose that for a particular type of complex form, the number of errors made by the first preparer has a Poisson distribution with mean value μ1, the number of errors made by the second preparer has a Poisson distribution with mean value μ2, and that each CPA prepares the same number of forms of this type. Then, if a form of this type is randomly selected, the function e -με μ p(x; M1, M2) = 0.6- +0.4. x! x = 0, 1, 2,... x! gives the probability mass function of X: the number of errors on the selected form. a. Verify that p (x; μ₁, μ2) is a legitimate probability mass function. b. What is the expected number of errors on the selected form? C. What is the variance of the number of errors on the selected form?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.EA: Extended Application Contagion

Problem 2EA

See similar textbooks