Given that every twenty-ninth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.

Q: A fair 6-sided die is rolled three times. What is the probability that all three rolls are 3? Write…

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Q: In the marketing division of a particular company, there are 65 part-time employees and 33 full-time…

A: From the provided information, There are 65 part-time employees and 33 full-time employees. Total…

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

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Q: From experience, the manager of Kramer's Book Mart knows that 60% of the people who are browsing in…

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Q: Based on previous weather records, the probability that the city of Calgary will have a "White…

A: Given: Probability that the city will have a White Christmas on Dec 25th is 25=0.4

Q: (b) If Jodie Meeks shoots two free throws, what is the probability that he misses both of them?…

A: Given information: Free throw shooting percentage=0.906. Let us assume the X signifies the number of…

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: In a large population, 67 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Let X be the number of people has been vaccinated.   n=5 and p=0.67 X ~ B (n=5, p=0.67)

Q: There are 18 students, from which 9 people will be selected to be on a panel. If Allen and Joe are 2…

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Q: Suppose you roll a special 43-sided die. What is the probability that the number rolled is a "1" OR…

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Q: If records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Let us denote X= number of damaged houses Given that the probability of a damaged house= 2/1000 =…

Q: In a large population, 71 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given p=0.71, n=4  X ~ Binomial(n=4 ,p=0.71)

Q: If 52% of the people at a certain conference are doctors, 44% are women, and 67% are doctors or…

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and…

Q: You are pulling from a bag containing 9 blue marbles, 8 black marbles, 8 green marbles, and 3 yellow…

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Q: Peyton rolls a standard die 15 times. What is the probability he rolls a two exactly four times?…

A: Given: Peyton rolls a standard die 15 times Find out the probability he rolls a two exactly four…

Q: There are 20 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A: Given information- We have given that out of 20 students, from which 6 people will be selected to be…

Q: There are on average 20 old growth Sitka Spruce trees per acre in a local forest. Find the…

A: GivenOn average 20 old growth sitka spruce trees per acrefor 14 acre, 5 old growth sitka spruce…

Q: Suppose that on the average, 8 students enrolled in a small liberal arts college have their…

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Q: In a five card poker hand, what is the probability of being dealt exactly one seven and no picture…

A: Here given five card poker hand dealt from standard deck of 52 cards  Here total picture cards = 12…

Q: What is the probability that a card drawn randomly from a standard deck of 52 cards is an ace?…

A: Obtain the probability that a card drawn randomly from a standard deck of 52 cards is an ace   The…

Q: In a large population, 51 % of the people have been vaccinated. If 5 people are randomly selected,…

A: It is given that the probability a randomly selected person is vaccinated is 0.51. Assuming that for…

Q: In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected,…

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Q: The record of weather station shows that out of the past 300 consecutive days, its weather forecasts…

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Q: Find the probability that a 4 is obtained on one of the dice in a throw of two dice, given that the…

A: In throwing of two dice, the total possible outcomes are 36 Let Define some events X : Getting a 4…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are…

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Q: a) A junk drawer at home contains six pens, two of which work. What is the probability that you…

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: A die is rolled twice. What is the probability of showing a five on the first roll and an even…

A: Given, A die is rolled twice. we know that a die has six faces so, total number of possible…

Q: In a large population, 52 % of the people have been vaccinated. If 3 people are randomly selected,…

A: P(vaccinated) =p = 0.52 P(not vaccinated) = 1-0.52 = 0.48

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: In a family of five, what is the probability that no two people are born the same month? Explain how…

A: According to the provided information, in a family of there are 5 people. There are 12 month in a…

Q: There are 15 female board members and 10 male board members. If a committee of 12 members is…

A:

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people have been vaccinated and n be the sample number of people.…

Q: Perros Richard de la 41 receives 5 home orders every 2 minutes. a. How many home orders are…

A: Answer: Using the given data,

Q: Suppose you flip a fair coin twice. What is the probability that the outcome is the same both times?…

A: Consider the head surface of the coin is H and the tail surface is T. The coin flips twice.…

Q: If records indicate that 14 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Let us denote X= number of damaged houses Given that the probability of a damaged house= 14/1000 =…

Q: The average number of homes sold by the Fidelity Realty company is 3 homes per day. What is the…

A: Solution

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: When a die is rolled twice,  There are 6 outcomes (1,2,3,4,5,6) on the first roll and 6 similar…

Q: The Gallup organization found that 26% of Americans own a cat as a pet. Find the probability 5…

A: Given that, The probability of Americans own a cat as a pet is, p=0.26 The sample size is, n = 5

Q: a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four…

A: here use binomial distribution  each trial independent(failure of disk indpendent) finite number of…

Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Introduction: Denote X as the random variable of interest here, which is the number of people who…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Solution Given: Sample size (n) = 11 p (don't grow into a healthy plant) = 1- p (grow into a healthy…

Q: in every 200 packages. If a customer complains that her package of film doesn't show the expiration…

A: Here use probability tree for given situation

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

A: Here we have known that there are 12 cards. and Cnr=n!r!(n-r)!

Q: If you roll 1 six sided die, what is the probability that you roll an odd number? (Express your…

A: Probability is defined as the extent to which an event is likely to occur. The probability of an…

Q: a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four…

A: Provided information, there is 4% risk drive failure in a year.  The situation follows binomial…

Q: If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be…

A: Given information Let A denotes event that an individual with a Bachelor Degree in Underwater…

Q: In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that, 68% of the people have been vaccinated. Probability, p = 68% = 0.68 Sample size, n = 3

Q: A swim team consists of 5 boys and 6 girls. A relay team of 4 swimmers is chosen at random from the…

A: In this question we need to solve the question which is based on probability.

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

A:

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.