SOLUTION: Two coins are randomly selected from a pocket containing two quarters, one dime, and one nickel. A random variable is defined as the total value of the two coins selected. Find th

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Question 767505: Two coins are randomly selected from a pocket containing two quarters, one dime, and one nickel. A random variable is defined as the total value of the two coins selected. Find the expected value (in cents).
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Two coins are randomly selected from a pocket containing two quarters, one dime, and one nickel. A random variable is defined as the total value of the two coins selected. Find the expected value (in cents).
Q1 = first quarter
Q2 = second quarter
 D = dime
 N = nickel

 Selection   x=Value   p=Probability     x·p
---------------------------------------------------------------
   Q1,Q2       50¢          1%2F6          8%261%2F3¢ = 8%262%2F6¢
   Q1,D        35¢          1%2F6          5%265%2F6¢ = 5%265%2F6¢
   Q1,N        30¢          1%2F6          5++++ ¢ = 5++++ ¢
   Q2,D        35¢          1%2F6          5%265%2F6¢ = 5%265%2F6¢
   Q2,N        30¢          1%2F6          5++++ ¢ = 5++++ ¢
    D,N        15¢          1%2F6          2%261%2F2¢ = 2%263%2F6¢
--------------------------------------------------------------- 
                               E(x) = ∑x·p = 30%2615%2F6¢ = 30%2B2%263%2F6¢ = 32%261%2F2¢ 

Edwin