Problem 1E

An urn contains 7 red and 11 white balls. Draw one ball at random from the urn. Let X = 1 if a red ball is drawn, and let X = 0 if a white ball is drawn. Give the pmf, mean, and variance of X.

Answer:

Step 1 of 2:

Given that, an urn contains 7 red and 11 white balls.

Total balls (R+W) = 7 + 11

= 18.

Let X =1 if a red ball is drawn.

That is, P(X =1) =

Let X = 0 if a white ball is drawn.

That is, P(X = 0) =