M&M Color Distribution According to the manufacturer.

Chapter 5, Problem 3E

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QUESTION:

Problem 3E

M&M Color Distribution According to the manufacturer. M&M’s are produced and distributed in the following proportions: 13% brown, 13% red, 14% yellow, 16% green. 20% orange, and 24% blue. In a random sample of 12 M&M’s, what is the probability of having 2 of each color?

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QUESTION:

Problem 3E

M&M Color Distribution According to the manufacturer. M&M’s are produced and distributed in the following proportions: 13% brown, 13% red, 14% yellow, 16% green. 20% orange, and 24% blue. In a random sample of 12 M&M’s, what is the probability of having 2 of each color?

ANSWER:

Solution

Step 1 of 2

We have to find the probability of having 2 of each colour, when in a sample of 12 M&M’s

Given that the proportion of brown M&M’s is 13% then

                     The  proportion of red M&M’s is 13% then

                The  proportion of yellow M&M’s is 14% then

                  The  proportion of green M&M’s is 16% then

                The  proportion of orange M&M’s is 20% then

                    The  proportion of blue M&M’s is 24% then

Here each colour is repeated twice then

Here a sample of 12 M&M’s


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