The mean number of breakdowns of a conveyor belt per month at a local factory is 56. Assume that each breakdown occurs randomly and independently. Let X = the number of of breakdowns of a conveyor belt per month. (a) Is X a discrete or continuous random variable? (Type: Discrete or Continuous) (b) What is the exact probability that anywhere from 55 to 57 breakdowns will occur in the next month? Answer: (c) Use the normal approximaion to the poisson distribution to estimate the probability in part (b). Answer:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
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The mean number of breakdowns of a conveyor belt per month at a local factory is 56. Assume that each breakdown occurs randomly and
independently.
Let X = the number of of breakdowns of a conveyor belt per month.
(a) Is X a discrete or continuous random variable? (Type: Discrete or Continuous)
(b) What is the exact probability that anywhere from 55 to 57 breakdowns will occur in the next month? Answer:
(c) Use the normal approximaion to the poisson distribution to estimate the probability in part (b). Answer:
Transcribed Image Text:The mean number of breakdowns of a conveyor belt per month at a local factory is 56. Assume that each breakdown occurs randomly and independently. Let X = the number of of breakdowns of a conveyor belt per month. (a) Is X a discrete or continuous random variable? (Type: Discrete or Continuous) (b) What is the exact probability that anywhere from 55 to 57 breakdowns will occur in the next month? Answer: (c) Use the normal approximaion to the poisson distribution to estimate the probability in part (b). Answer:
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