You draw a card from a deck. if you get a red card, you win nothing. if you got a spade, you win $5. for any club, you win $10 plus an extra $20 for the ace of clubs. define random variable x as the amount you win at one game. a) what is the pmf of x? b) find expected value and standard deviation of x.

Then the PMF for your winnings is

You can expect to win

or about $4.13 per game.

Recall that variance is

where

so that the variance of your winnings is

or about 29.54 "squared" dollars. Standard deviation is the square root of variance, so the standard deviation of is approximately $5.44.

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.