Question

In: Math

A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly...

  1. A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly located on those pages. Find the probability that a random selection of 50 pages will contain no errors. Find the probability that 50 randomly selected pages will contain at least two errors.

Solutions

Expert Solution

Solution:

We are given:

The number of errors follows the Poisson distribution, therefore, the mean of the Poisson distribution is:

Find the probability that a random selection of 50 pages will contain no errors.

We have to find

Find the probability that 50 randomly selected pages will contain at least two errors.

We have to find here:

  

  

  

Therefore, the probability that 50 randomly selected pages will contain at least two errors is 0.2642


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