A factory makes toys The probability that a toy is defective is 008 A random sample of 50 toys istestedFind the probability that there is at least one defective toy in the sample
To solve this problem, we can use the complement rule. The complement of "at least one defective toy" is "no defective toys", which is easier to calculate.
The probability of getting a non-defective toy in one trial is:
P(non-defective) = 1 - P(defective) = 1 - 0.08 = 0.92
The probability of getting 50 non-defective toys in 50 trials is:
P(50 non-defective) = (0.92)^50 = 0.076
Therefore, the probability of getting at least one defective toy is:
P(at least one defective) = 1 - P(no defective) = 1 - 0.076 = 0.924
So the probability that there is at least one defective toy in the sample is 0.924 or 92.4%
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