Can someone help?

Assume that you select two 2-digit numbers at
random from the set of consecutive integers from 00 through 99. The selections
are made with replacement and are independent of one another. If the two
numbers are the same, you make $700. If they are different,
you lose $2. A random variable
X

is defined
as your gain or loss.


How many different values are possible for the random variable
X

?

And complete the probability density
function.

P(same) = (1/100)(1/100) = 1/10000
P(different) = (1/100)(99/100) = 99/10000

There are 100 ways of drawing the same numbers and 100x 99 = 9900 ways of drawing different numbers.
x-----p(x)
100 -- 1/10,000
9900 --- 99/10,000

Amount won or lost
x------------p(x)
70,000 -- 1/10,000
-198,00 -- 99/10,000