Solved

An Instructor Has Given a Short Test Consisting of Two

Question 18

Essay

An instructor has given a short test consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. p(x,y)0510150.02.06.02.105.04.15.20.1010.01.15.14.01\begin{array} { c c c c c } \hline p ( x , y ) & 0 & 5 & 10 & 15 \\\hline 0 & .02 & .06 & .02 & .10 \\\hline 5 & .04 & .15 & .20 & .10 \\\hline 10 & .01 & .15 & .14 & .01 \\\hline\end{array}
a. If the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score E(X + Y)?
b. If the maximum of the two scores is recorded, what is the expected recorded score?

Correct Answer:

verifed

Verified

a. blured image + (0 + 5)(.06) +...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions