Question

A card is drawn from a standard 52 card deck. If the card is a king, you win $20; otherwise, you lose $3. What is the expected value of the game?

a. Let x be the random variable for the amount won on a single play of this game. Complete the playoff table for this random variable X.

Xi ___ ____ ( Maintain the order of values as given in the problem)
Pi ___ ____ (type probabilities as simplified fractions)

Answer 1

@satellite73 help mee

Answer 2

\(X_1=20,X_2=-6\)

Answer 3

\(P(X=20)=\frac{4}{52}=\frac{1}{13}\) and
\[P(X=-6)=\frac{12}{13}\]

Answer 4

\[E(X)=20\times \frac{1}{13}-6\times \frac{12}{13}=\frac{20-72}{13}\]

Answer 5

so what is the answer of E(X)

Answer 6

the one i wrote above, after you compute

Answer 7

Ok thank you

Answer 8

yw

Answer 9

-52/13

Answer 10

so E(X)= -4?

Answer 11

yes

Answer 12

Or is the answer 14.46?

Answer 13

no it is \(-4\)

Answer 14

ok thank you

Answer 15

yw

Answer 16

i have one lat question that i need help with quickly