The first factory produces 20% details, the second 60%, third factory 20% of details. The first factory has 5% defective details, the second 2%, third 3%. Randomly selected detail is defective. What is the probability that detail was produced by the first factory?
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- Two chefs (Mike and Larry) cook at a diner. Mike cooks twice as many dishes as Larry. ZAGAT has noted that Larry cooks “good” 3 out of four dishes, while Mike cooks “good” four out of ten dishes. You want take your out-of-town visitor for a dinner there. What is the probability that your visitor will have good dining experience?Joon wants to determine whether his San Jose oil field will yield oil. He has hired a geologist to run tests on the field. If there is oil in the field, there is a 95% chance that the test will indicate oil. If the field contains no oil, there is a 5% chance that the test will indicate oil. If the test indicates that there is no oil in the field, what is the probability that the field contains oil? Before the test, Joon believes that there is a 10% chance that the field will yield oil.Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 2% of those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 2% of hers, but Chuck breaks 4% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is. (Round to three decimal places as needed.)
- Dan's Diner employs three dishwashers. Al washes 20% of the dishes and breaks only 1% of those he handles. Betty and Chuck each wash 40% of the dishes, and Betty breaks only 1% of hers, but Chuck breaks 3% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is (Round to three decimal places as needed.) An PasSixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?46% of an insurance agents clients have life insurance, 40% have auto insurance and 28% have both policies. Why is the probability that a randomly selected client has life insurance or auto insurance? write the answer in decimal form.
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