Question

A jar contains 3 pennies, 5 nickels and 2 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins

8:01 АА A ohm.lumenlearning.com Ajar contains 3 pennies, 5 nickels and 2 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X. Hint: Find the probability for each of the possible values of X. Question Help: D Post to forum Submit Question

Answer 1

P(X=10)=P(both nickel) =(5*4)/(10*9)=			2/9
P(X=11)=P(1 penny and 1 nickel) =2*(3*2)/(10*9)=			2/15

below is pmf of X:
P(X=2)=	1/15
P(X=6)=	1/3
P(X=10)=	2/9
P(X=11)=	2/15
P(X=15)=	2/9
P(X=20)=	1/45

expected value =E(x) =ΣxP(x) =

9.60