Part IV: Sections 5.5- 5.7 17. Suppose that the number of defects in a randomly selected one carat diamond of a certain type follows a Poisson distribution with X= 3. By the Central Limit Theorem, what is the approximate (a) distribution of the mean number of defects in the random sample of 40 one carat diamonds? You should give a name for the distribution, as well two associated numerical quantities.

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.
Chapter13: Probability And Calculus
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Part IV: Sections 5.5-5.7
17.
Suppose that the number of defects in a randomly selected
one carat diamond of a certain type follows a Poisson distribution with
X= 3.
By the Central Limit Theorem, what is the approximate
(a)
distribution of the mean number of defects in the random sample of 40
one carat diamonds? You should give a name for the distribution, as well
two associated numerical quantities.
(b)
the random sample of 40 one carat diamonds, the probability that the
sample mean number of defects is less than y is less than 98%.
Estimate the largest number of defects y such that in
Transcribed Image Text:Part IV: Sections 5.5-5.7 17. Suppose that the number of defects in a randomly selected one carat diamond of a certain type follows a Poisson distribution with X= 3. By the Central Limit Theorem, what is the approximate (a) distribution of the mean number of defects in the random sample of 40 one carat diamonds? You should give a name for the distribution, as well two associated numerical quantities. (b) the random sample of 40 one carat diamonds, the probability that the sample mean number of defects is less than y is less than 98%. Estimate the largest number of defects y such that in
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