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Answer:
0.9167 = 91.67% probability that the entire batch will be accepted
Step-by-step explanation:
The CDs are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
2100 write-rewrite CDs, and 60 are defective.
This means, respectively, that
3 of these CDs are randomly selected for testing
This means that
What is the probability that the entire batch will be accepted?
Probability of none defective, so P(X = 0).
0.9167 = 91.67% probability that the entire batch will be accepted