A corporate Web site contains errors on 50 of 1000 pages. If 100 pages are sampled randomly without replacement, approximate the probability that at least one of the pages in error is in the sample.

Solution 102E

Step1 of 2:

Let us consider a random variable X it presents the number of errors in a corporate Web site.

Also we have n = 100 and p = 0.05.

We need to find the probability that at least one of the pages in error is in the sample.

Step2 of 2:

Let ‘X’ follows binomial distribution with parameters ‘n and p.’Then mean of the binomial distribution is:

Also, we know that standard deviation of binomial distribution is:

Therefore, mean and standard deviation

Now, The probability that...