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The diameters of apples from an orchard in Washington are normally distributed. The mean is 3.2...

The diameters of apples from an orchard in Washington are normally distributed. The mean is 3.2 inches with a standard deviation of 1.1 inches. Assume x is a random variable that represents the diameter of a Washington apple.

a. Is this random variable x an example of a discrete or continuous random variable? Explain why.

b. What is the probability that the diameter of a single apple will be:

1.9 inches or less?

3.6 inches or more?

Between 1.9 and 3.6 inches?

c. Suppose one sack of apples contain 8 apples, what is the probability that the average diameter of that sack of apples is between 1.9 and 3.6 inches?

d. Suppose one sack of apples contain 10 apples, what is the probability that the average diameter of that sack is +/- 0.5 inches of the diameter of apples?

e. If only the largest 80% of apples are packaged for retail sale, what would be the smallest diameter of an apple packaged for retail?

Math   Statistics-And-Probability   
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