a. Samples consisting of a fixed number of articles are taken periodically from the continuous production of plant and the number of samples containing 0,1, 2, ...,n defective articles are recorded in the table below. No. of defective per sample 1 2 3 5 <6 Total No. of samples 24 30 26 14 4 100 Supposing that the mean number of defective articles per sample represents the true mean of the number of defective articles per sample and that the Poisson Distribution Law applies to the number of defective articles in a sample, find the probability that a sample contains i. Exactly 5 defective articles ii. No defective article iii. At least 3 defective articles

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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a. Samples consisting of a fixed number of articles are taken periodically from the
continuous production of plant and the number of samples containing 0,1,2, ...,n
defective articles are recorded in the table below.
No. of defective per sample
1
2
3
4
<6
Total
No. of samples
24
30
26
14
4
2
100
Supposing that the mean number of defective articles per sample represents the true
mean of the number of defective articles per sample and that the Poisson Distribution
Law applies to the number of defective articles in a sample, find the probability that a
sample contains
i. Exactly 5 defective articles
ii.
No defective article
iii. At least 3 defective articles
Transcribed Image Text:a. Samples consisting of a fixed number of articles are taken periodically from the continuous production of plant and the number of samples containing 0,1,2, ...,n defective articles are recorded in the table below. No. of defective per sample 1 2 3 4 <6 Total No. of samples 24 30 26 14 4 2 100 Supposing that the mean number of defective articles per sample represents the true mean of the number of defective articles per sample and that the Poisson Distribution Law applies to the number of defective articles in a sample, find the probability that a sample contains i. Exactly 5 defective articles ii. No defective article iii. At least 3 defective articles
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