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- The chance that doctor A will diagnose a disease a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chance of death by wrong diagnosis is 70%. A patient of doctor A, who had disease X, died. What is the chance that his disease was diagnosed correctly ?For next year, 47% of veterans will buy a single family home. If we pick a random sample of 5 veterans, find the probability that at least 4 veterans will buy a single -family home next year?Suppose a free throw shooter makes 67 percent of their first attempts. On the second attempt they make 81 percent if they had made their first attempt, but 59 percent if they had miss. What is the probability that they make one of two attempts (one or the other attempt, but not both)?
- Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 43.00% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 3.000% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?Suppose we build a taco-making machine. But there is a fatal flaw in the machine, where for each taco made, there's a 5% chance that it's actually a toxic taco. If the machine makes 100 tacos, what is the probability that at most 2 of them are toxic?
- If a seed is planted, it has a 80% chance of growing into a healthy plant. If 6 seeds are planted, what is the probability that exactly 2 don't grow?Analysts expects that 11% of all publicly traded companies will experience a decline in earnings next year. If a company is headed for a decline, there is a 74% chance that this ratio will be negative. If the company is not headed for a decline, there is only a 20% chance that the ratio will be negative. The analyst randomly selects a company and its ratio is negative. What is the probability that the company will experience a decline?If you roll 12 six sided dice and each one is a success on a roll of 5 or more, what what is the probability that you will get 6 or fewer total successes?
- Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?There is a 30% chance it will snow on any one of the next 5 days. What is the chance it will snow at least 2 of those days?You are analysing a factory. Stage 3 of the manufacturing process has a 70% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 25%. The overall chance of Stage 4 finishing on time is 64.875%. What is the chance that Stage 4 finishes late if Stage 3 finished late?