With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1650 write-rewrite CDs, and 100 are defective. If 4 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?

77.86% probability that the entire batch will be accepted

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We also have that the order in which the CD's are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:

4 CD's from a set of 1550(non defective). So

Total outcomes:

4 CD's from a set of 1650. So

Probability

77.86% probability that the entire batch will be accepted

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50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.