Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (Round your answer to the nearest tenth of a percent.) The probability that the couple has adjacent desks is 22 %. What is the probability that the married couple will have nonadjacent desks? (Round your answer to the nearest tenth of a percent.) The probability that the couple has nonadjacent desks is 78 x %.

Q: If 64% of the people at a certain conference are doctors, 31% are women, and 29% are female doctors,…

A: Solution

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

Q: At a certain college, 49% of the students are female, and 19% of the students major in civil…

A: Given that Female =49% =0.49 Civil engineer = 19% =0.19 Female and Civil engineer ( both ) = 12%…

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: In 2014, approximately 13% of nonelderly Americans adults had no health insurance. Suppose that a…

A: Given: Proportion of American adults having no health insurance, p=0.13 Sample size, n=400

Q: If 58% of the people at a certain conference are doctors, 38% are men, and 18% are male doctors,…

A: Given If 58% of the people at a certain conference are doctors, 38% are men, 18% are male doctors,

Q: Compute the probability of randomly drawing five cards from a deck and getting exactly one Queen?…

A: There are 52 cards in a standard deck of cards.  We can draw any 5 cards in 52C5=2598960 ways…

Q: In a given year, 2,264,724 males and 2,124,694 females were born in a certain country. If a child is…

A: Number of male born in that given year: NM=2264724 Number of female born in that given year:…

Q: What is the probability that a student chosen at random skips breakfast, given they are between the…

A: The formula for conditional probability is,  P(A | B) = P( A n B) / P(B)

Q: A poll is given, showing 65% are in favor of a new building project. If 5 people are chosen at…

A:

Q: A nurse has found that persons calling a medical advice line who think they have the flu, only…

A: Solution: Let X be the number of callers actually have the flu and n be the sample number of…

Q: What is the percent probability that a family randomly chosen has both a red and a silver car? Round…

A:

Q: Ms. Kim orders a pizza with 5 toppings, chosen from 11 available toppings. What is the probability…

A: Let A and B be the two events, the probability of event A or B but not both is nothing but P(A and…

Q: thirteen percent of adults are left handed. in a group of 30 adults, what is the probability of…

A: Let X=the number of lefty n=number of trials= 30 p=probability of success= 13%=0.13 X follows a…

Q: About IO percent of the population is left-handed. Ofthose who are right-handed, about 40 percent…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: A poll is given, showing 20% are in favor of a new building project. If 6 people are chosen at…

A: ( 1 ) Given n =6,p=0.2,p(x=1) =? ( 2) Given n = 8 , p=0.05 , p( x=4 ) =?

Q: What is the probability of randomly drawing 7 cards at once from a standard deck of cards and…

A: From the provided information, Total cards in standard deck = 52 Sample size (n) = 7

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given information- Sample size, n = 510 The proportion of eligible voters = 0.54 Now, from Binomial…

Q: A poll is given, showing 35% are in favor of a new building project. If 8 people are chosen at…

A: Let "X" be the people who are in favour of the new building.

Q: If 66% of the people at a certain conference are doctors, 63% are women, and 77% are doctors or…

A: Given that, 66% of the people at a certain conference are doctors i.e. P(doctors) = 0.66 63% are…

Q: Suppose that General Mills has a promotion in which one randomly selected miniature action figure is…

A: There are 5 distinct action figures. The probability distribution of the 5 boxes to receive a…

Q: A poll is given, showing 80% are in favor of a new building project. If 8 people are chosen at…

A: Givenp=0.80n=8x~Binomial(n=8,p=0.80)P(X=x)=(nx)×(p)x×(1-p)n-x   ; x=0,1,....,n

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From experience, an airline knows that only 70% of the passengers booked for a certain flight…

A:

Q: According to the Australian Bureau of Statistics, during a particular year, the country’s population…

A: The mean is, μ=np=200×0.226=45.2 The mean is 45.2 The standard deviation is,…

Q: In a certain congressional district, it is known that 20% of the registered voters classify…

A:

Q: Of 1400 students at Brown High School, 800 attended the first school dance of the year. Only 500…

A:

Q: A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at…

A: Sample sizze, n = 9 The probability that exactly one of them are in favour Here the random variable…

Q: ong adults in the U.S., 60% choose potatoes as their favorite vegetable.  In an Idaho Potato…

A:

Q: A spinner with 10 equally likely outcomes labeled 1-10 is spun once. What is the probability of…

A: Given:      Sample space =1,2,3,4,5,6,7,8,9,10

Q: in a classroom of 30 students, what is the probability that at least two of the students share a…

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by…

Q: The probability that a house in an urban area will develop a leak is 6​%. If 13 houses are…

A: Given : The probability that a house in an urban area will develop a leak is 6​%. 13 houses are…

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

A:

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: A poll is given, showing 20% are in favor of a new building project. If 9 people are chosen at…

A:

Q: c. What is the probability that in a random sample of 2, at least one has been abroad?

A: (C) Let X be the random variable from binomial distribution with probability of people have been…

Q: A poll is given, showing 35% are in favor of a new building project. If 9 people are chosen at…

A:

Q: Suppose that 33% of people in a certain city are on an online dating website. If three people are…

A: Given information 33% of people are on online dating website Probability that people are on online…

Q: It is estimated that 26% of all California adults are college graduates and that 30% of California…

A:

Q: In a business statistics class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys…

A: Given: The business statistics contains the 30 students that is present in the class. It mostly…

Q: The probability that four randomly selected high school drivers all drove when drinking alcohol is

A: Given: Drove when drinking alcohol Yes No Total Texted while driving 737 3027 3764 No Texting…

Q: The probability that a house in an urban area will develop a leak is 55​%. If 22 houses are…

A: Let "X" be the houses that will develop a​ leak.

Q: Use the method of your choice to determine the following probabilities.   a. What is the probability…

A: a) probability of rolling two 2s followed by one 6 on three rolls of a fair die sample space =…

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A: A random variable X is said to follow a binomial distribution with parameters 'n' and 'p' ( where n…

Q: A poll is given, showing 45% are in favor of a new building project. If 10 people are chosen at…

A: We have to find given probability.

Q: (d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw…

A: Given, Sample size, n= 80 Proportion, p= 56% = 0.56 q= 1-p= 1-0.56 q= 0.44 Mean= np= 80*0.56= 44.8…

Q: Eight percent of Americans have a master's degree. If five Americans are selected at random, what is…

A: Given,n=5p=0.08A random variable X~Binomial(n=5 , p=0.08)P(X=x)=5x0.08x1-0.085-x   ;  x=0,1,..5

Q: What is the probability of randomly picking a 11 or 5 in one draw from a deck of ordinary playing…

A:

Q: What is the probability that in three consecutive rolls of two fair dice, a person gets a total of…

A:

Q: a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a…

A: Let X denotes the IQ of school graduates. Given that X follows N(mean = 120, SD = 10), then Z = (X -…

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.