Find the indicated probability. In a batch of 8000 clock radios 4% are defective

Question

Find the indicated probability. In a batch of 8000 clock radios 4% are defective. A sample of 10 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Provide an appropriate response. A tourist in Ireland wants to visit eight different cities. If the route is randomly selected, what is probability that the tourist will visit the cities in alphabetical order? Round your answer to five decimal places.

Explanation / Answer

Solution:-   

13) 8000 clocks
8000*.04=320 defective
8000-320=7680 not defective

==> 7680C10/8000C10
= 0.6647 probability none found defective.
  
==> 1-0.6647 = 0.3353 the probability that the entire batch will be rejected.

14) The total number of ways if 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320


The problem is 1/40320 = 0.0000248

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