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: An unprepared student takes a 15 question true-false quiz and guesses at the answer to every…

A: Given Data Probability of success,p = 0.5 Probability of failure,q=(1- 0.5 )= 0.5…

Q: If two or more events are independent and success is defined as the probability that all of the…

A:

Q: According to Wealth committee data, 0.15% of people have anemia. If 2000 people are randomly…

A:

Q: Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known…

A: Two events are said to be mutually exclusive events if they cannot occur at the same time. For two…

Q: If a hockey team loses 33% of the games they play, what is the probability that this team will win…

A: In an experiment, the probability of an event is the likelihood of that event occurring. Probability…

Q: In a shooting game, the probability for Ali to hit a target is , and the probability for Ahmad to…

A: Answer - The probability for Ali to hit a target is   P(A) =  1/2                The probability for…

Q: Each of the two friends tosses an unbiased coin ten times. What is the probability that each one…

A: Let X be a random variable denotes the number of heads friend 1 receive.. X~Bin10,12 Calculate the…

Q: Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known…

A: Mutually Exclusive events: Events which cannot occurs together are called mutually exclusive events.…

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: The game is at Deuce. Now, the probability of scoring a point = θ.

Q: the director of a film festival received 8 submissions, 5 of which were silent films. If the…

A:

Q: A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer.…

A: Given : A student takes a ten-question true-false quiz  Probability of success,p = 0.5…

Q: In a shooting contest, Jose hits the target 85 times out of 100, And Pedro hits it 95 times out of…

A: Solution

Q: In a class, 50% of the students play basketball, 20% of the students play football and 10% of the…

A:

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A: Given: P(Tom answers correctly)=0.8 P(Dick answers correctly)=0.7 P(Harry answers correctly)=0.6

Q: The probability that a patient recovers from a rare deadly disease is 40% . If 15 people are known…

A: Given: Probability of survive is, p=40%=0.40. Total number of people is, n=15. The objective is,…

Q: If you flip a fair coin ten times, what is the probability of each of the following? Getting all…

A:

Q: you flip a coin 4 times whats the probability that all four of them are heads?

A: According to the provided data, a coin is flipped 4 times.The total number of combinations is…

Q: In the collaboration problem about the mathematician that carries chalk in her pockets, suppose her…

A: Since the number of chalks in each pocket are different, we will break the problem in two cases. One…

Q: What is the probability that none is 1.

A: Answer: n = 9 cards

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

A:

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: An unprepared student takes a 10-question true-false quiz and guesses at the answer to every…

A:

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain…

A: Given information, p=0.3 q=0.70 Consider, the expected number of winning is, Ex=1p      =10.3…

Q: You draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​…

A: Given, You draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck…

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

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Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

Q: The director of a film festival received 7 submissions, 5 of which were romantic comedies. If the…

A:

Q: Assuming the outcomes to be equally likely, find the probability that exactly one of the four…

A: Given:  There are 4 true false questions.

Q: The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the…

A: The probability is used to calculate the probability of an event occur. Let A be the event, the…

Q: The Edmonton Oilers win 70% of their games if they score first, but only 40% of their games if the…

A:

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A:

Q: Joseph rolls a 6-sided die, observes the outcome, and then tosses a coin according to the number he…

A: We want to find the conditional probability

Q: In a class, 40% of the students play basketball, 20% of the students play football and 10% of the…

A:

Q: If the joint probability of neither of two events, A and B, occurring is 0.08, the probability of…

A:

Q: The grade 10 board of officers of a school consists of seven girls and 4 boys.a committee of five…

A: We can select 2 girls from 7 girls in 7C2=21 ways We can select (5-2)=3 boys from 4 boys in 4C3=4…

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: Which of the following probability values CANNOT exist?

A: Probability values lies between 0 and 1( both inclusive)

Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

Q: In one version of a popular lottery game, a player selects six of the numbers from 1 to 54. The…

A: The selection of r things from a total of n things is obtained by the use of combinations. This is…

Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: In a certain card game, four players are dealt 13 cards each from a conventional deck of 52 cards.…

A: Answer: - In a certain card game, four players are dealt 13 cards each from a conventional deck of…

Q: If a person takes a five questions true-false, what is the probability of the event that the score…

A: For the given statement

Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

Q: If The probability of rain falling on any day in November is 20% find the probability of: A: There…

A:

Q: If the probability of an event E is 2/3​, then the probability that E will not occur is

A:

Q: you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability…

A:

Q: A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer.…

A: This will be a binomial distribution with n = 10, p = P(Correct guess) = 1/2 = 0.5 We need to find…

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.