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.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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