You might think that the apples you buy in stores just grow naturally. Well, you’re wrong! The University of Minnesota has been ‘breeding’ apples since 1888. Basically, they keep trying to invent the perfect apple. Their prized invention was the Honeycrisp Apple, which was released to the public in 1991 and is still extremely popular today. However, there’s a new apple in town, called the Cosmic Crisp. It’s a blend of the Enterprise and Honeycrisp apples, and supposedly has the perfect texture and taste. Cosmic Crisp apples are split into three sizes: Small, Standard, and Jumbo, based off of their diameters. The size of Cosmic Crisp apples are normally distributed with a mean diameter of 71 mm and a standard deviation of 12 mm.  Find the probability that a randomly picked Cosmic Crisp apple would have a diameter greater than 87 mm.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You might think that the apples you buy in stores just grow naturally. Well, you’re wrong! The University of Minnesota has been ‘breeding’ apples since 1888. Basically, they keep trying to invent the perfect apple. Their prized invention was the Honeycrisp Apple, which was released to the public in 1991 and is still extremely popular today. However, there’s a new apple in town, called the Cosmic Crisp. It’s a blend of the Enterprise and Honeycrisp apples, and supposedly has the perfect texture and taste. Cosmic Crisp apples are split into three sizes: Small, Standard, and Jumbo, based off of their diameters. The size of Cosmic
Crisp apples are normally distributed with a mean diameter of 71 mm and a standard deviation of 12 mm.

 Find the probability that a randomly picked Cosmic Crisp apple would have a diameter greater than 87
mm.

 A grocery store orders 2000 apples.
How many would you expect to be small
apples?

   If 100 apples are picked at random,
what is the probability that you will get at
between 10 and 15 Jumbo apples?

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