Question: Need help with understanding these 2 geometric problems. 3. A manufacturer uses electrical fuses in an electronic system. The fuses are purchased in large lots

Need help with understanding these 2 geometric problems.

3. A manufacturer uses electrical fuses in an electronic system. The fuses are purchased in large lots and tested sequentially until the first defective fuse is observed. Assume that the lot contains 5% defective fuses. a) What is the probability that the first defective fuse will be one of the first five tested? b) What is the probability that the first defective fuse will be the fifth one tested? c) How many fuses should an inspector have to test before finding the first defective one? d) If an inspector inspects 440 fuses how many are expected to be defective? 4. Among employed women, 25% have never been married. Suppose we randomly sample women in a particular business office. a. What is the probability that the first woman who says she has never been married is the fourth woman surveyed? b. What is the probability that the first woman who has never been married is in the first five surveyed? c. How many women would one expect to have to survey in order to find one who had not been married? d. If 775 women are surveyed, how many are expected to have never been married

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