what is the probability that all 6 will be above average in performance?
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Among a group of 16 stocks, suppose that 8 will perform above average and the other 8 will perform below average. If you pick 6 stocks from this group, what is the probability that all 6 will be above average in performance?
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- Suppose you are going to form a committee of students and faculty. You have 9 total students and 18 total faculty to pick from. You want to have 9 total people on the committee. What is the probability that you select 2 students and 7 faculty, in that order? Enter your answer rounded to three decimals. Show your work. Enter the work that you used to get your answer.At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.If two people are chosen with replacement from the data, what is the probability that both are wearing athletic shoes and the second is a woman wearing dress shoes?
- Connor is an oncologist with 7 patients in their care. The probability that a patient will survive 5 years after being diagnosed with stage 2 pancreatic cancer is 0.34. What is the probability that 7 of the patients are still alive after 5 years?A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?The manager of the co-ed baseball team randomly selects a 9-person batting order from a group of 15 people. Of these 15 people, 7 are women and 8 are men. Find the probability that at least one woman is included in the batting order.
- Professor John is designing a water flask and he needs to know the probability that the filtration system will fail during a water cleaning. Based on previous data, Professor John estimates that the probability of a filtration system failure during the filtration cleaning is 0.05. If the water flask is used for 365 days in a year, what is the probability that the filtration system will not fail during any cleaning in a year?If the probability of rain tomorrow is 65%, what is the probability that it will not rain tomorrow?A club of 17 people consists of 9 men and 8 women. A team of 10 is randomly selected from the club. How would I get the probability for the team that consists of 5 men and 5 women.
- A group of five students went to a hotel with 10 upper floors and a ground floor. The students simultaneously enter the elevator at the ground floor. The students choose their exit floors independently of each other. Determine the probability that they are all going to different floors when each student randomly chooses one of the 10 floors as their exit floor.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?
