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AP® Statistics

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Farmer's Harvest

APSTAT-7LTTYI

A farmer’s harvest of apples has a normal distribution with the distribution of individual apple weights $µ = 5$ ounces, and $σ = 0.5$ ounces.

Two apples are randomly chosen from this year’s harvest. The difference in the weights of the two apples is a normally distributed random variable.

What are the mean and standard deviation of this distribution of differences?

A

$µ = 0; σ = 0.1$

B

$µ = 0; σ = √(0.1)$

C

$µ = 0; σ = 0.5$

D

$µ = 0; σ = √(0.5)$

E

$µ = 0; σ = 1$