A company states that the probability that any one of its pens is defective is 0.08.
For a random sample of 15 pens, find the probability that at least 2 are defective.
An employee claims that the probability of a defective pen is greater than 0.08. In a random sample of 20 pens, 3 are defective. Test the claim at the 5% level of significance, stating your hypotheses clearly.