Milk chocolate M&M candies have a variety of colors in each package. When the candies are mixed in the factory, 25% of them are orange. Suppose you buy a package that contains 56 of these candies. Question 1 - How many orange candies do you expect to have in your package? (This is a whole number.) Question 2 - What is the probability that there are fewer than 12 orange candies in your package? (Please round to 3 decimals.) Question 3 - What is the probability that there are 12 or fewer orange candies in your package? (Please round to 3 decimals.) Question 4 - What is the probability that there are more than 20 orange candies in your package? (Please round to 3 decimals.)
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25% of 56 = 0.25 * 56 = 14 So, you can expect to have 14 orange candies in your package. Question 2 - What is the probability that there are fewer than 12 orange candies in your package? Show more…
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According to the Mars Candy Company, the long-run percentages of various colors of M\&M's milk chocolate candies are as follows: Blue: 24$\%$ Orange: 20$\%$ Green: 16$\%$ Yellow: 14$\%$ Red: 13$\%$ Brown: 13$\%$ (a) In a random sample of 12 candies, what is the probability that there are exactly two of each color? (b) In a random sample of 6 candies, what is the probability that at least one color is not included? (c) In a random sample of 10 candies, what is the probability that there are exactly 3 blue candies and exactly 2 orange candies? (d) In a random sample of 10 candies, what is the probability that there are at most 3 orange candies? [Hint: Think of an orange candy as a success and any other color as a failure.] (e) In a random sample of 10 candies, what is the probability that at least 7 are either blue orange or green?
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