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)   (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¢                    ¢ = ¢
   Q1,D        35¢                    ¢ = ¢
   Q1,N        30¢                     ¢ =  ¢
   Q2,D        35¢                    ¢ = ¢
   Q2,N        30¢                     ¢ =  ¢
    D,N        15¢                    ¢ = ¢
--------------------------------------------------------------- 
                               E(x) = ∑x·p = ¢ = ¢ = ¢ 

Edwin

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