Suppose that n people throw their hats in a box and then each pick one hat at random. (Each hat can be picked by only one person, and each assignment of hats to persons is equally likely.) What is the expected value of X, the number of people that get back their own hat?

Q: An Olympic archer is able to hit the bull's-eye 80% of the time. Assume each shot is independent of…

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Q: Three bags of the same appearance have the following proportion of balls: 2 black and 1 white in…

A: Probability is just how likely something is to happen. Whenever we're unsure about the end result of…

Q: A hat contains 54 Green slips of paper and 18 Grey slips of paper (and nothing else). Two slips are…

A: Number of green slips = 54 Number of grey slips = 18 Total number of slips = 54+18 = 72   The…

Q: The probability of a New York teenager owning a skateboard is 0.37. The probability of owing a…

A: Given that, The probability of a New York teenager owning a skateboard is 0.37 The probability of…

Q: Assume that you have three computers and two sensors in a subway train. If all three computers and…

A: From the given information p denotes the probability of a computer failing and q denotes the…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information,  Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: What is the probability of success on each trial?

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Q: A person is selected at random during the Republican National Convention. Suppose the probability…

A: Given, The probability that the person selected is a woman is, P(W) = 37% = 0.37The probability that…

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

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Q: In the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: Given: Number of students = 4

Q: A person is selected at random during the Republican National Convention. Suppose the probability…

A: The given probability that the person selected is a woman is 46%, the probability that the person…

Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: A shipment of 6 items includes 3 that are defective and 3 non-defective, if two items are chosen at…

A: We have to find given probability..

Q: A random sample of 500 students at Hudson college were surveyed and it was determined that 375 wear…

A: From the provided information, Sample size (n) = 500 students 375 wear glasses or contact lenes.…

Q: Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a…

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Q: Dolly is randomly selecting a new duo of alpaca to pull her wagon.  There are 5 black alpaca, 7 tan…

A: Probability of an event = Number of event divided by total possible outcomes = n/s

Q: There are ten urns of which each of three contains 1 white and 9 black balls; each of other three…

A: Given information: Given that there are 3 types of urns. There are 3 urns in 1st type of urns with 1…

Q: A magician's hat contains black rabbits and white rabbits. The magician selects two rabbits without…

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Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A:

Q: A casino game involves picking two stones at random from a bag. The bag contains eight stones: three…

A: Given Data: n( green)=3 n( blue)=5   Total=8

Q: This problem involves selecting books from a shelf. Assume that the shelf holds 6 short stories and…

A: Random variable:The value of the given variable (X) takes possible outcomes of a statistical…

Q: Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Assume that Jim, Bruce, and Valerie are three of the 35 members of the​ class, and that three of the…

A: We have to find out given probability . ..

Q: This problem involves drawing three cards from a deck of cards. Assume that the deck contains 4…

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Q: Suppose that two defective refrigerators have been included in a shipment of six refrigerators. The…

A: The two defective refrigerators have been included in a shipment of six refrigerators. The buyer…

Q: If the selection is made with replacement (the first slip is put back into the hat before drawing…

A: Hat contains 169 slips of paper. 27 of these are blue, rest are pink; 127 are pink. Two slips are…

Q: A person pays $5 to play a game with a pair of coins. If two heads appear then $10 is won. If a head…

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Q: Assume for this problem that the company has 5 Hyundais and 7 Jeeps, and two cars are selected…

A: Given data are: Number of Hyundai cars = 5 Number of Jeeps = 7 Probability of both cars being…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.