Question

6. The quality control manager of Mr. Gatti’s Pizza is inspecting slices of pepperoni pizza that just came out of the oven. If the production process is in control, the mean number of pepperoni pieces per slice is 4.0. What is the probability that in any particular slice being inspected: (a) fewer than five pepperoni pieces will be found? (Round answer to four decimal places.) (b) exactly five pepperoni pieces will be found? (Round answer to four decimal places.) (c) five or more pepperoni pieces will be found? (Round answer to four decimal places.) (d) either four or five pepperoni pieces will be found? (Round answer to four decimal places.)

Answer 1

a)

X = number of pepperoni per slice

X follow poisson distribution with mean = 4

P(X < 5)

= 0.6288

b)

P(X = 5) = 0.1563

C)

P(X >= 5)

= 0.3712

d)

P(X = 4 or 5)

= P(X = 4) + P(X = 5)

= 0.1954 + 0.1563

= 0.3517

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