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Multiply each of the 3 prices by the associated probability, and then add up these three products:
($48)(1/2) + ($56)(1/8) + ($72)(3/8) = $24 + $7 + $27 = $58 (answer)
($48)(1/2) + ($56)(1/8) + ($72)(3/8) = $24 + $7 + $27 = $58 (answer)
The total expected value of a pair of sneakers is $58. Option D is correct
Given the prices of the three sneaker styles are $48,$56, and $72.
If the probability of choosing the $48 sneaker style is 1/2, the expected value = 1/2(48) = $24
If the probability of choosing the $56 sneaker style is 1/8, the expected value = 1/8(56) = $7
If the probability of choosing the $72 sneaker style is 3/8, the expected value = 3/8(72) = $27
The total expected value of a pair of sneakers = $24 + $7 $27
The total expected value of a pair of sneakers = $58
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