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The rate of defects among CD players of a certain brand is 1.4 percent. use the...


The rate of defects among CD players of a certain brand is 1.4 percent. use the poison approximation to the binomial distribution to find the probability that among 160 such CD players received by the store, there is at most one defective cd player.
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Answer #1

Given n=160

p=1.4%=0.014

As p is very small and n is large enough that is greater than 20, poisson approximation can be used and the parameter for poisson distribution would be

So now to find the probability of atmost 1 defective CD player that is there can be either 0 or 1 defective CD player among the 160 CD players

Let X be number of defective CD player, and x follows poisson distribution with mean 2.24

therfore the probability that there is atmost 1 defective CD player is 0.344917.

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