Each of five contestants competing in a quiz are asked 10 quick-fire questions, and their answers may be correct or incorrect with equal probability. The score of each contestant depends on the number of correct answers. What is the probability that   (a) all contestants get a different score? (b) exactly 2 of them get the same score? (c) exactly 3 of them get the same score?

Q: In a large population, 66 % of the people have been vaccinated. If 3 people are randomly selected,…

A:

Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: You took a 5-question multiple choice quiz with 4 choices for each question.  If you guess at random…

A: Given information- A student takes a multiple-choice test that has 5 questions. Each question has…

Q: A 7​-question ​multiple-choice quiz has 5 possible answers for each question. Only one of the 5…

A:

Q: The probability that Tom will be alive in the next 20 years is 0.7 and the probability that Nancy…

A:

Q: In a large population, 61 % of the people have been vaccinated. If 3 people are randomly selected,…

A: p(vaccinated) = p = 0.61 ∴ p(not vaccinated) = 1 - 0.61 = 0.39 select 3 people at random p(atleast…

Q: You are to flip a fair coin, where probability of heads is equal to 50% (and tails is 50%). The fair…

A: Answer:- Given, The probability of head , P(H) = 50% = 0.50  The fair coin is flipped, n = 100000…

Q: One professor grades homework by randomly choosing 5 out of 14 homework problems to grade. (c).…

A: Permutation and combination are the two important concepts in statistical probability. These two are…

Q: Clara is a medical assistant who gives 14 people a flu shot in one day. The probability of…

A: Givenn=14p=0.14x~Binomial(n=14,p=0.14)P(X=x)=(nx)×px×(1-p)n-x    ;  x=0,1,...,n

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the…

A: Here, the coin is tossed 6 times. Number of outcomes=2^6=64. a) The different number of outcomes is…

Q: the probability that no students miss the weekly quiz. b. Find the probability that exactly 1…

A: here x and p(X) are givenwe have to find out the given probabilities…

Q: Kiara sets up a passcode on her tablet, which allows only six-digit codes. She has heard that it's…

A: Kiara sets up a pass-code on her tablet, which allows only six-digit codes. She has heard that it's…

Q: Each of the two players, A and B, get 26 cards at random. Find the probability that each player has…

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Q: In a local archery contest, the probability that Samuel will be successful on each shot is 82.5% If…

A: Let X be the random variable from binomial distribution with probability of success (p) = 82.5% =…

Q: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

A:

Q: A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers, only one of…

A: Given Data: The number of multiple-choice question is: n=10 The total  number of possible answers…

Q: In a large population, 59% of the people have been vaccinated. If 3 people are randomly selected,…

A: n=3,p=59%=0.59X~Binomial(n=3,p=0.59)Let X be the number of person have been vaccinated.p be the…

Q: In a drawer, there are 13 pairs of socks, 10 of which are white, and 8 t-shirts, 5 of which are…

A: Here in a drawer there are 13 pairs of shock from which 10 are white. 8 t-shirts from which 5 are…

Q: In a mathematics competition, there are 10 multiple-choice questions. Each question has one correct…

A: The binomial probability formula is given by:P(X=k)=(nk)⋅pk⋅(1−p)n−kwhere:(nk) is the number of ways…

Q: Suruchi has $1.64 worth of change in the bottom of her purse.              If she reaches into her…

A: Given: Total number of coins = 12 Number of nickel = 3

Q: Pete and two co-workers harvested 18 pumpkins from a farm where they worked. If each person…

A: Given Pete and two co-workers harvested 18 pumpkins.Each person harvested at least 5 pumpkins.The…

Q: A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae…

A: Given information: Total number of songs on this upcoming hour's playlist = 8 Number of rock songs =…

Q: nd the probability of getting exactly 12 out of 30 questions on a true or false question. elect the…

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Q: If the probability of a student taking a math class is 0.40, the probability of taking a physics…

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Q: What is the probability that she will not have to stop at the light all next week?

A: It is given that the probability that the light will be red is 65% = 0.65

Q: Avery sets up a passcode on her tablet, which allows only seven-digit codes. She has heard that it's…

A:

Q: Liam and John are going to play video games this afternoon. Together, they have 30 video games. If…

A: Total no.of video games=30

Q: John runs a computer software store. Yesterday he counted 127 people who walked by his store, 58 of…

A: Given Information: Number of people who walked by his store = 127 Ou of which 58 came in the store.…

Q: Give the probability in decimal form. The campus vets club is having a raffle and is selling 1500…

A: The total number of selling tickets=1500 tickets The number of tickets bought by the people on the…

Q: Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these…

A: It is given that 28 out of 42 flights are on time. The remaining 14 flights are Not on-time.

Q: John creates comic strips for his town's newspaper. Last week, he created 8 comic strips, 6 of which…

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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.