A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diameters that are normally distributed, with a mean diameter of 2.5 in. And a standard deviation of 0.25 in. What percent of the onions will be accepted by the grocery store?

Question

Mathematics

Kenley Hahn

21 June, 06:04

A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diameters that are normally distributed, with a mean diameter of 2.5 in. And a standard deviation of 0.25 in. What percent of the onions will be accepted by the grocery store?

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Answers (1)

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Ellen Singleton · Answer 1

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean) / SD = (2.75-2.5) / 0.25 = 0.25/0.25 = 1

P (x greater than or equal to 2.75) = P (z greater than or equal to 1)

= 1 - p (z <1)

P (z<1) from table = 0.84134

1-p (z<1) = 0.15866 or 15.866%