Among 500 freshmen pursuing a business degree at a certain university, 320 are enrolled in an economics course, 225 are enrolled in a mathematics course, and 140 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in an economics course and/or a mathematics course? exactly one of these two? neither an econ nor a math course?

Q: Suppose a university has 500 students, of whom 60% are female and 40% are male. Among the female…

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Q: A random sample of 10 parking meters in a resort community showed the following incomes for a day.…

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Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: One jar holds 20 green marbles and 4 white marbles. A second jar holds 60 black marbles and 20 white…

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Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: A box contain 10 items,3 of which are defective and 7 are good.Two items are selected.What is the…

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Q: A bag has three red marbles and five blue marbles. Two marbles are randomly selected one by one.…

A: Given that there are 3 red and 5 blue marbles. So total (3+5)=8 marbles. We can pick any 2 marbles…

Q: The mayor of a town estimates that 65% of the residents in the town favor a raise of taxes to…

A: Given information: p=The probability of residents in the town favor a raise =65%=0.65 400 people…

Q: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

Q: In a large city there are an average of 02 fires per year. What is the probability that next year…

A: Solution: Let X be the number of fires per year. From the given information, average number of fires…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

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Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: In a class of 30 students, 12 students play basketball and 18 students play football. If 6 students…

A: Ans: - Given, a class of 30 students,         12 students play basketball and 18 students play…

Q: The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes.…

A: From the given information, Process average weight per packet is 41 grams. That is, x¯¯=41 The…

Q: A class has 36 students. Each student studies either Math or Computer or both. 20 students study…

A: It is given that, 20 students study Math i.e. n(Maths) = 20 and 25 students study Computer i.e.…

Q: A class of 25 students is taking a course in Western Civilization on a​ pass/fail basis. The course…

A: Define the random variable x as the number of students that will pass the course. Here, the number…

Q: Assume that 65 percent of the students at the university have taken 4 years of high school math. Of…

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Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…

A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…

Q: A group of 20 people is selected at random. What is the probability that at least two of them have…

A: The probability that 1st person having the birthday is 365/365.The probability that 2nd person…

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…

Q: There are 400 seniors in highschool, of which 180 are males. It is known that 85% of the males and…

A: Given,

Q: A man comes from a family of 2 children. What is the probability that the other child is his sister?

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…