You walk into the Rolling Thunder Casino, and are immediately faced with a table that offers the following game: A player pays $2 to play. The player can win $ 2, $ 4, or $5 with probabilities 0.28, 0.08, and 0.03, respectively. A random variableXis to represent the players profit on a single play of the game.

The partial probability distribution ofXis provided.

(a)P(X=2)=

(b)Sketch the distribution of probabilities from (a), with the values ofXon the x-axis andP(X=x) on the y-axis.

What can you say about the tendency of the random variableX? The distribution ofXis .

(c)Compute the expected value ofXand the standard deviation ofX

.

E(X)=

SD(X)=