Exam 12: From Randomness to Probability

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course. If 55% of the students have never taken a statistics class, 25% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that the first groupmate you meet has studied some statistics?

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C

A survey of senior citizens at a doctor's office shows that 40% take blood pressure-lowering medication, 47% take cholesterol-lowering medication, and 13% take both medications. What is the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication?

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C

One ball is removed from a bag containing 1 blue ball, 1 red ball, 1 yellow ball, and 1 green ball.Without returning the first ball to the bag a second ball is removed.Determine whether the events are disjoint, independent, both, or neither.

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A

For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker Find PA( or B).Round approximations to two decimal places.

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At the track, a gambler bets on the wrong horse in a 10-horse field nine times in a row.Later, when talking to a friend, he said he was confident that he would pick the winner the next time, because he was "due to pick a winner." Comment on his reasoning.

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You roll a fair die five times.What is the probability that the numbers you roll are not all 3's?

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The weather reporter predicts that there is a 20% chance of snow tomorrow for a certain region.What is meant by this phrase?

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In one city, 47.5% of adults are female, 10.2% of adults are left-handed, and 4.8% are females.For an adult selected at random from the city, let F = event the person is female L = event the person is left-handed. Find P(F or L).Round approximations to three decimal places.

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College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. toppings freshman sophomore junior senior cheese 16 16 26 29 meat 25 29 16 16 veggie 16 16 25 29 Find P(favorite topping is meat | student is junior).

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College students were given three choices of pizza toppings and asked to choose one Favorite.The following table shows the results. toppings freshman sophomore junior senior cheese 16 16 26 29 meat 25 29 16 16 vacois 16 16 25 29 Given that a student's favorite topping is meat, what is the probability that the student is a Junior?

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course. If 10% of the students have never taken a statistics class, 35% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that both of the first two groupmates you meet have studied at least one semester of statistics?

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course. If 10% of the students have never taken a statistics class, 35% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that at least one of the first two groupmates you meet has studied more than one Semester of statistics?

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A survey revealed that 45% of people are entertained by reading books, 46% are entertained by watching TV, and 9% are entertained by both books and TV.What is the probability that a person will be entertained by either books or TV?

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In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative.If the probability that an individual sample tests positive is 0.12, what is the probability that the mixture will test positive?

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A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective.If three of the products are randomly selected, find the probability that all of them are acceptable.

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course. If 35% of the students have never taken a statistics class, 25% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that neither of the first two groupmates you meet has studied any statistics?

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course. If 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that the first groupmate you meet has studied at least two semesters of statistics?

(Multiple Choice)
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College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. toppings freshman sophomore junior senior cheese 16 16 26 29 meat 25 29 16 16 veggie 16 16 25 29 Given that a student's favorite topping is veggie, what is the probability that the student is a junior or a senior?

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College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. toppings freshman sophomore junior senior cheese 16 16 26 29 meat 25 29 16 16 veggie 16 16 25 29 Find P(favorite topping is veggie | student is junior or senior).

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Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither.

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