10 Torch batteries of a particular brand are sold in packs of 3. A store receives a large delivery of packs. The manager selects a random sample of 60 packs and tests all of the batteries. The numbers of faulty batteries in the packs are summarised in the following table. Number faulty 0 1 2 3 Number of packs 28 28 4 0 (i) State one assumption about the batteries in a pack which you would need to make for a binomial distribution to be appropriate. (ii) Fit a binomial distribution to the data and carry out a goodness of fit test at the 10% significance level. (iii) 10 packs are selected at random from the delivery. Estimate the probability that at least two of these packs contain 3 faulty batteries.
10 Torch batteries of a particular brand are sold in packs of 3. A store receives a large delivery of packs. The manager selects a random sample of 60 packs and tests all of the batteries. The numbers of faulty batteries in the packs are summarised in the following table. Number faulty 0 1 2 3 Number of packs 28 28 4 0 (i) State one assumption about the batteries in a pack which you would need to make for a binomial distribution to be appropriate. (ii) Fit a binomial distribution to the data and carry out a goodness of fit test at the 10% significance level. (iii) 10 packs are selected at random from the delivery. Estimate the probability that at least two of these packs contain 3 faulty batteries.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:10 Torch batteries of a particular brand are sold in packs of 3. A store receives a large delivery of packs.
The manager selects a random sample of 60 packs and tests all of the batteries. The numbers of faulty
batteries in the packs are summarised in the following table.
Number faulty
0
1
2
3
Number of packs 28
28
4
0
(i) State one assumption about the batteries in a pack which you would need to make for a binomial
distribution to be appropriate.
(ii) Fit a binomial distribution to the data and carry out a goodness of fit test at the 10% significance
level.
(iii) 10 packs are selected at random from the delivery. Estimate the probability that at least two of
these packs contain 3 faulty batteries.
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