the prices of three sneaker styles are $48,$56, and $72. the probability of choosing the $48 sneaker style is 1/2. the probability of choosing the $56 sneaker style is 1/8. the probability of choosing the $72 sneaker style is 3/8

what is the expected value of a pair of sneakers?

A$28
B$48
C$56
D$58

Respuesta :

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)

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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