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A restaurant prides itself on making excellent chocolate chip muffins. In a sample of 953 muffins,...

A restaurant prides itself on making excellent chocolate chip muffins. In a sample of 953 muffins, the average number of chocolate chips in each muffin is 11.5. What is the probability that:

  1. A chocolate chip muffin has less than 7 chocolate chips in it?
  2. A chocolate chip muffin has either 11 or 12 chocolate chips in it?
  3. A chocolate chip muffin has 9 thru 12 chocolate chips in it?
Math   Statistics-And-Probability   
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Answer #1

Since population size is large so Poisson distribution can be assumed. Let X is a random variable shows the number of chocolate chips in a muffin. Here X Poisson distribution with parameter .

(a)

The probability that a chocolate chip muffin has less than 7 chocolate chips in it is

(b)

The probability that chocolate chip muffin has either 11 or 12 chocolate chips in it is

(c)

The probability that chocolate chip muffin has 9 thru 12 chocolate chips in it is

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