SOLUTION: suppose 9 quarters, 7 dimes, 6 nickels, and 8 pennies are in a box. one coin is selected at random. what is the expected value of this experiment?​

Algebra ->  Probability-and-statistics -> SOLUTION: suppose 9 quarters, 7 dimes, 6 nickels, and 8 pennies are in a box. one coin is selected at random. what is the expected value of this experiment?​      Log On


   



Question 1138211: suppose 9 quarters, 7 dimes, 6 nickels, and 8 pennies are in a box. one coin is selected at random. what is the expected value of this experiment?​
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
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9 + 7 + 6 + 8 = 30 coins, in all.


The probability to randomly select a quarter is  9%2F30;

The probability to randomly select a dime    is  7%2F30;


    . . . .  and so on  . . . . 


The expected value of the experiment is


25%2A%289%2F30%29+%2B+10%2A%287%2F30%29+%2B+5%2A%286%2F30%29+%2B+1%2A%288%2F30%29 = %2825%2A9+%2B+10%2A7+%2B+5%2A6+%2B+1%2A8%29%2F30 = 333%2F30 = 111%2F10 = 11.1 cents.    ANSWER