The diameters of apples grown in an orchard are normally 3.4 and standard deviation 0.4 inches. (a) What proportion of the apples have diameters greater than 4.0 inches? What proportion have diameters less than 3.0 inches? (b) If two apples are selected at random, what is the probability that the difference in their diameters exceeds 0.5 inches? (c) If four apples are selected at random, what is the probability that their average diameter exceeds 4.0 inches? (d) If ten apples are selected at random, what is the probability that exactly two have diameters less than 3 inches and exactly one has diameter greater than 4

MATLAB: An Introduction with Applications
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The diameters of apples grown in an orchard are normally distributed with mean
3.4 and standard deviation 0.4 inches.
(a) What proportion of the apples have diameters greater than 4.0 inches? What
proportion have diameters less than 3.0 inches?
(b) If two apples are selected at random, what is the probability that the
difference in their diameters exceeds 0.5 inches?
(c) If four apples are selected at random, what is the probability that their
average diameter exceeds 4.0 inches?
(d) If ten apples are selected at random, what is the probability that exactly two
have diameters less than 3 inches and exactly one has diameter greater than 4
inches?
Transcribed Image Text:The diameters of apples grown in an orchard are normally distributed with mean 3.4 and standard deviation 0.4 inches. (a) What proportion of the apples have diameters greater than 4.0 inches? What proportion have diameters less than 3.0 inches? (b) If two apples are selected at random, what is the probability that the difference in their diameters exceeds 0.5 inches? (c) If four apples are selected at random, what is the probability that their average diameter exceeds 4.0 inches? (d) If ten apples are selected at random, what is the probability that exactly two have diameters less than 3 inches and exactly one has diameter greater than 4 inches?
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