A restaurant had 60 boxes of crayons. 20 of the boxes had the colors pink, purple...

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A restaurant had 60 boxes of crayons. 20 of the boxes had the colors pink, purple and green. The other 40 boxes contained the colors blue, black, and red. Each child that enters the restaurant gets a box of crayons at random to keep. That day, 10 boys and 15 girls enter the restaurant. If only 12 boxes with pink, purple, and green crayons remain at the end of the night, (a) what is the probability that exactly 4 of the boys got a box with pink, purple and green crayons? (b) what is the probability that at least 8 boys get a box with pink, purple, and green crayons? (c) What distribution did you use to solve these problems? Explain your answer. The number of acorns that fall from a tree in an hour can be modeled by a Poisson distribution. Sitting under an oak tree, an acorn falls where you are sitting an average of 0.01 times per second. (a) What is the probability you not be hit by an acorn at all if you sit under the tree for 60 seconds? (b) What is the probability that you get hit by at least 5 acorns in 120 seconds? A restaurant had 60 boxes of crayons. 20 of the boxes had the colors pink, purple and green. The other 40 boxes contained the colors blue, black, and red. Each child that enters the restaurant gets a box of crayons at random to keep. That day, 10 boys and 15 girls enter the restaurant. If only 12 boxes with pink, purple, and green crayons remain at the end of the night, (a) what is the probability that exactly 4 of the boys got a box with pink, purple and green crayons? (b) what is the probability that at least 8 boys get a box with pink, purple, and green crayons? (c) What distribution did you use to solve these problems? Explain your answer. The number of acorns that fall from a tree in an hour can be modeled by a Poisson distribution. Sitting under an oak tree, an acorn falls where you are sitting an average of 0.01 times per second. (a) What is the probability you not be hit by an acorn at all if you sit under the tree for 60 seconds? (b) What is the probability that you get hit by at least 5 acorns in 120 seconds?

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Answers As there are 25 children entering total boxes used 25 and therefore le... View the full answer