In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics?

Q: A quick quiz consists of a multiple-choice question with 3 possible answers followed by a…

A: The objective of this question is to find the probability that both responses are correct when two…

Q: In a fundraising event, 100 raffle tickets are sold, with 10 of them being winning tickets. If you…

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Q: In the history of film and television, accidents have occurred, such as deaths of actors or crews…

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Q: A quick quiz consists of a multiple-choice question with 5 possible answers followed by a true/false…

A: Given dataMultiple choice questions with 5 possible answers followed by a true and false5 possible…

Q: You ask a friend to think of a number from 4 to 10. What is the probability that his number will be…

A: S= number from 4 to 10 = {4,5,6,7,8,9,10} A = number will be a multiple of three = {6,9}

Q: A coin is tossed and a single 6-sided die is rolled.  Find the probability of landing on the tail…

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Q: When rolling a number cube 800 times what is the probability that a 2 or 5 would be rolled

A: Total Number of faces = 6 P(2) =1/6 P(5)= 1/6 Now, Probability of 2 or 5 is: P(2∪5)=P(2)+P(5)-P(2∩5)…

Q: 75% of all bald eagles survive their first year of life. Give your answers as decimals, not…

A: Given Information: 75% of all bald eagles survive their first year of life. i.e., p=0.75 If n=30…

Q: A poll showed that 50.9% of Americans say they believe that life exists elsewhere in the galaxy.…

A: The given percentage of Americans who are said to believe that life exists elsewhere in the galaxy…

Q: The probability that a student is awarded a pass in Engineering statistics is 0.75. Find the…

A: Solution: Let X be the number of students pass the statistics examination and n be the sample number…

Q: Andre is 70% free throw shooter. If he attempts 20  foul shots, what is the probability that he…

A: Solution: Let X be the number of shots sink and n be the number of foul shots. From the given…

Q: In a recent survey, 303 out of 350 residents of Salem, MA said they are planning on passing candy…

A: here given ,  303 out of 350 residents of Salem, MA said they are planning on passing candy during…

Q: The lacrosse team has a 55% chance of winning its upcoming games. Find the probability of them…

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Q: You roll a six-sided die. Find the probability of rolling: a 5 or a number greater than 3 a number…

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Q: A bag contains 9 red chips, 7 blue chips, and 8 green chips. Bobby selects two chips from the bag…

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Q: A high school baseball player has a 0.245 batting average. In one game, he gets 5 at-bats. What is…

A: The probability mass function of Binomial distribution is,  P(X= x) = nCx (p)x (1-p) n-x ; x=…

Q: individual chooses a number from 1 to 10. What is the probability that the number is even? Write…

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Q: A poll showed that 50.9% of Americans say they believe that some psychics can help solve murder…

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Q: ass, 75% of students are taking an English class, and 57% of students are taking both. Find the…

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Q: you flip a coin 6 times whats the probability of them all being heads?

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

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: Nancy wrote a short fiction story about a tiny world where 46% of inhabitants have a gene that…

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Q: 68% of all bald eagles survive their first year of life. Give your answers as decimals, not…

A: We have to find given probability.

Q: On average, you receive four pieces of junk mail a day. Find the probability that you receive next…

A: Given that On average, we receive four pieces of junk mail a day. Than we have to find the…

Q: 18% of all Americans live in poverty. If 35 Americans are randomly selected, find the probability…

A: It is given that  p = 18% = 0.18 n = 35 X ~ Bin( 35, 0.18 )

Q: The average number of relief goods your household receives during a pandemic is 3 per month. What is…

A: Let X : be the random variable having the number of relief goods household recieves during…

Q: Your favorite basketball player is a 90% free throw shooter. Find the probability (as a percent)…

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Q: A student takes a true-false test but did not study and randomly guesses each answer. There are 20…

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Q: cords show that the average number of defects per bolt of cloth is 10.4. Find the probability of at…

A: Let X be the random variable from Poisson distribution with average (λ) = 10.4 Then,  P(X≥4) = ?

Q: The probability that it will rain in a city is 0.1. Find the probability that it will rain on a…

A: Given data: The probability that it will rain in a city is P(R)=0.1. The expression for the…

Q: Intel's microprocessors have a 1.8% chance of malfunctioning.  Determine the probability that a…

A: Given  Chances of malfunctioning of Intel's microprocessors  = 1.8% = 0.018

Q: Cai tosses four coins. Determine the probability that they are all tails

A: When a fair coin is tossed the probability of getting heads is 1/2 and probability of getting tails…

Q: Give the probability of paying $00.

A: Given, Time taken for campus errand = 15 min Police checking occurs every 1hr = 60 min Fine if…

Q: According to insurance records a car with a certain protection system will be recovered 8686​% of…

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Q: A quick quiz consists of a true/false question followed by a multiple-choice question with 6…

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Q: Through ten games of basketball this season, Samuel has made 90% of his free-throws. Which word or…

A: Probability is a branch of mathematics that deals with calculating the likelihood of a given event's…

Q: In a class, the probability that a student owns a laptop is 0.2. Find the probability that the 5th…

A: We will consider the case of having a laptop as a success.  Probability of success=  0.2 (given) So…

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.