Of the students living in the dormitories at a university, 58% live at west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 26% of those at the west hall, and to 19% of those living at the south tower. A student living in a dormitory is randomly chosen. Find the probability that this student does not receive a coupon.

Q: Out of the 125 children at summer camp, 45 signed up for swimming, and 38 signed up for arts and…

A: Given: Total students = 125 Students who signed up for swimming (S) = 45 Students who signed up for…

Q: Of the drivers who stop at a gas station, 91% purchase gasoline, and 5% purchase both gasoline and…

A: Given : Of the drivers stopping at a gas station, 91% purchase gasoline, 5% purchase both gasoline…

Q: Of all college freshman who try out for the track team, the coach Will only accept 30%. If 15…

A: Let X denote the number of freshman try out for the track team and it follows binomial distribution…

Q: In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: At Riyadh 5% of all students play football and basketball, 32% of all students play football. What…

A: Let , A=all students play foot ballB=all students play basket ballgiven,P(A∩B)=0.05P(A)=0.32

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

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: He can select 5 numbers from 45 numbers in 45C5=1221759 ways He can select a number from 32 numbers…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: In a survey of 1200 college students living in the dorms, 600 said that they had only a tablet in…

A: Solution

Q: In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Sample size (n) = 5 p(people have been vaccinated) = 0.69 Formula: Let "X" be the people that…

Q: Thirty percent of the students in Unix College is in favour of a ban on drinking in the dormitories.…

A: Let us assume that X= number of students who favor ban  X follows a binomial distribution with…

Q: A package contains 5 bags of tortilla chips, 3 bags of cheese puffs, 4 bags of potato chips, and 6…

A: Given: A package contain 5 bags of toritlla chips, 3 bags of cheese puffs, 4 bags of potato chips…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: It is given that one-fourth have a Master’s degree and the remainder have Bachelor’s degrees. Half…

Q: household in a city choosing a sedan over other vehicle types is 38%. If 7,591 households in the…

A:

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are…

A:

Q: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: At a fast-food restaurant, 60% of the patrons order a burger. Of those ordering a burger, 40% also…

A:

Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: According to American Airlines, its flight 215 from Orlando to Los Angeles is on time 90% of the…

A: It is given that the 90% of the flights from Orlando to Los Angeles are arrived on time. The 15…

Q: 2.  In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people…

A: Given data in a recent survey  18 people preferred milk , 29 people preferred coffee, 13 people…

Q: Of 100 job applicants to the United Nations, 20 speak French, 30 speak German, and 14 speak both…

A:

Q: In a group of 100 students, 80 study Physics, 90 study Math and 5 study none of the subjects. What…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 316 responded "yes", and 366…

A:

Q: Of the drivers who stop at a gas station, 92% purchase gasoline, and 5% purchase both gasoline and…

A:

Q: About 35% of the population have a college degree. If three people are randomly selected, what is…

A: Given,  p = 35% = 0.35 q = 1 - p = 1 - 0.35 = 0.65 Sample size, n = 3 Let X be a random number which…

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: At a particular high school, 18% of the students participate in student council and 47% of the…

A: At a particular high school, 18% of the students participate in student council 47% of the students…

Q: As a promotional offer, a newly opened movie theatre is awarding 25% of their new patrons with a…

A: It is an important part of statistics. It is widely used.  Since the question has multiple sub parts…

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: In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked…

A: 24 - drink tea 31 - drink coffee total 78 people select at random

Q: What is the probability of a student chosen at random liking both Hannah Montana and suite life of…

A: Given data: The numbers of students who like Waverly place are a=73. The numbers of students who…

Q: In a summer camp, 48% of the children are enrolled in swimming and 40% in tennis. One-third of the…

A:

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

A: Given, 11 bottles of zinfandel, 9 of merlot and 7 of cabernet Total bottles = 27 If 6 bottles are…

Q: Of the patients at a cardiac rehabilitation centre, 36% lead a sedentary lifestyle and have had a…

A:

Q: at a highschool with 200 students 32 play soccer 18 play basket ball and 8 play both sports. if a…

A: Let,A=students play soccerB=students play bascket ballP(A)=32200 =0.16P(B)=18200 =0.09P(A∩B)=8200…

Q: Of the 30 people working out in the gymnasium one afternoon, 25 are nonsmokers. If 5 are randomly…

A: Here N= 30 and 25 are nonsmokers,  So probability of being nonsmokers is p= x/N q=25/30  q=0.833…

Q: In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what…

A: It is given that the percentage of voters are Democrat is 81%.

Q: In a survey of 1200 college students living in the dorms, 600 said that they had only a tablet in…

A:

Q: In a given​ county, records show that of the registered​ voters,50%are​ Democrats,40%are​…

A:

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50

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.