You draw a card from a deck. If you get a diamond, you win nothing. You lose $2 if getting a heart. If you got a spade, you win $6. For any club, you win $10 plus an extra $5 for the face card of clubs. Define random variable X as the amount you win at one game. What is the pmf of X

Step-by-step explanation:

Let  X = amount you can win at this game (# of dollars you can win)

x = (0, -2, 6, 10, 15)

Probability Distribution of X

xp(X = x)Decimal

013/520.25

-213/520.25

6      13/52       0.25

1012/520.231

151/52         0.019

Total  52/52   1.00

where is the rest of the

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.