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)

P(X=0) = P(probability of picking a diamond) = 13/52 = .25P(X=-2) = P(probability of picking a heart) = 13/52 = .25 P (X= 6) = P(probability of picking a spade) = 13/52 = .25 P(X=10) = P(probability of picking a club) = 12/52 ≈ .231 P(X=20) = P(probability of picking the ace of clubs) = 1/52 ≈ .019

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

On monday,mrs.wise bought 3 lbs of apples at $4per lb= 4*3=$12on tuesday ,20%off and she buy 5 lbs of apples = $4-20%=3.20*5lb=$16example: other wise when she buy 5lbs on monday she have to spend 4*5=20