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Suppose that, on average, 1 in 1000 makes a numerical error in preparing his or her income tax return. If 15000 returns are selected at random and examined, find the probability that 11 ,12 ,13 of them contain an error.

          Suppose that,  on average,  1 in 1000 makes a numerical error in preparing his or her income tax return. If 15000 returns are selected at random and examined, find the probability that 11 ,12 ,13 of them contain an error.
        

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Suppose that, on average, 1 in 1000 makes a numerical error in preparing his or her income tax return. If 15000 returns are selected at random and examined, find the probability that 11 ,12 ,13 of them contain an error.
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Transcript

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0:00 Hello.
00:02 So we've been told that the average, that on average one person in thousand makes an numerical error.
00:12 So by that statement we can say that the probability is going to be one over thousand to zero point zero zero one.
00:27 Let's look at an additional information.
00:31 You have a sample size of 10 ,000.
00:35 That's 10 ,000.
00:41 So this is assuming a binomial distribution with p equals that an n.
00:47 Okay, you can see here that p is very small and the sample size is quite large.
00:57 So we can get the mean and p which is the binomial approximation to be 10 ,000 times 0 .001.
01:12 That's going to be 10.
01:13 So you can see that the mean here is finite...
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