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Question: Weight of Navel Oranges
Suppose that the weight of navel oranges is normally distributed with mean µ = 8 ounces, and standard deviation σ= 1.5 ounces. We can write X ~ N(8, 1.5). Answer the following questions:
(a) What proportion of oranges weigh more than 10.2 ounces?
(b) If you randomly select a navel orange, what is the probability that it weighs less than 6.9 ounces?
(c) What proportion of oranges weigh between 5.5 and 7 ounces?
(d) Find the 80th percentile of this distribution of X.
(e) Find the interquartile range of this distribution of X.
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