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: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 10 buildings…

A:

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

A:

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: Can you help me find how many winning ducks

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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: 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: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: A game show contestant must randomly select a door.One door doubles her money while the other three…

A: The number of doors doubles her money is 1.

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: Find the probability of winning second prize—that is, picking five of the six winning numbers—with a…

A: We can select any 6 numbers from 54 numbers in 54C6 ways. (this is the total number of ways)   We…

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: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

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: Elizabeth's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize…

A: Probability values can't be negative. It takes the values between 0 to 1. If the probability value…

Q: You are taking a multiple-choice quiz that consists of 10 questions. Each question has 5 possible…

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Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of…

A:

Q: Robby wins 2 out of every 3 chess matches he plays with Marlene. What is the probability that he…

A: Given that Robby wins 2 matches out of every 2 chess matches. So, probability of success, P=23…

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.