Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.2cm and a standard deviation of 0.38cm. Using the empirical rule, what percentage of the apples have diameters that are at least 7.96cm? Please do not round your answer.
Solution :
Using Empirical rule,
P( - 1< X < + 1) = 68%
P( - 2< X < + 2) = 95%
P( - 3< X < + 3) = 99.7%
The percentage of the apples have diameters that are at least 7.96 cm is
P(x 7.96)
= 2.5%
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