A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If the random variable X representing the number of defective sets, find

Q: Suppose a quarterback’s completion percentage for the season is 67.2%. Based on relative frequency,…

A: 67.2% time quarterback complete a pass.  So, the probability that quarterback will complete a pass =…

Q: A doctor claims that less than 30% of all persons exposed to a certain amount of radiation will feel…

A:

Q: Market research has shown that 60% of persons who are introduced to a certain product actually buy…

A: According to the provided information, p=0.60

Q: The Department of Mathematics of a certain university in a recent survey was found to consist of 80…

A: Given data 80 faculty members 40 male professors, so 40 female professors Total married professors =…

Q: a) Compute the number of ways in which 5 lottery balls can be selected from a pool of 39 balls.…

A: a) We can select 5 balls from 39 balls in 39C5=575757 ways. We can match all the 5 numbers in 5C5=1…

Q: (a) A communication system consists of n components, each of which will independently function with…

A: Given number of components=n probability =p Total system operates effectively if at least one-half…

Q: Suppose that a fair coin is tossed five times independently. Let V be the number of tails obtained…

A: Hello! As you have posted 8 different questions, we are answering the first question (1). In case…

Q: An education researcher claims that at most 3% of working college students are employed as teachers…

A: Solution: From the given information, p-hat=0.04 and n=200. The given claim is that at most 3% of…

Q: A shipment of five computers contains two that are slightly defective. If a retailer receives three…

A: In the given problem, we are required to find the sample space S and the values of random variable X…

Q: At pandemic time of COVID 19 surveys are conducted in two townships which fall into the same Lusaka…

A: Given: No. of positive tested people in Chawama, x1 =175 Sample size, n1=318 No. of positive tested…

Q: A breathalyser test is used by police in an area to determine whether a driver has an excess of…

A: Given 6 % of drivers Haven't consumed alcohol 10%of drivers above the legal limit

Q: hypothetical population has two alleles for a gene: A and a. In a random sample of 100 individuals,…

A:

Q: from a coin box containing 4 dimes and 2 nickles,3 coins are selected at random replacement after…

A: A box contain 4 dimes and 2 nickels, we need to select 3 coins at random with replacement.…

Q: Two construction contracts are to be randomly given to one or more of three firms say I, II, III. A…

A: Given,  X = number of contracts were given to firm I Y = number of contracts were given to firm II

Q: A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97…

A:

Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…

A: Given Data: 'X' is the number of smartphones manufactured that have defects p=0.12 n=20   X~…

Q: The components of a 6-component system are to be randomly chosen from a bin of 25 used components.…

A: Given data The components of a 6 component system are to be randomly chosen from a bin of 25 used…

Q: If 4% of the bottles produced by a company are defective.determine the probabilkities of sample that…

A: Given,n=100p=0.04q=1-p=1-0.04=0.96x=no. of defectivesx~Binomial(n=100,p=0.04)P(X=x)=Cxn px qn-x   ;…

Q: three coins are tossed and the random variable z gives the number of tails. Find the range space,…

A: Given that  Total number of tossed=3 H=Head , T=Tail

Q: Two jurors are selected from 4 alternates to serve at a murder trial. Using notations J1 and J2 to…

A: Given data: Two jurors are selected from 4 alternates to serve at a murder trial. Using notations J1…

Q: CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult…

A:

Q: A therapist wanting to determine which of the two therapies i most effective in the treatment of…

A: Given : A therapist wanting to determine which of the two therapies is most effective in the…

Q: 12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of…

A:

Q: A local chess club claims that the length of time to play a game has a mean of 12 minutes or more.…

A: The hypothesis is given by: H0:t≥12;Ha:t<12 Therefore a type 1 error means false positive and…

Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…

A: 1. Given that X=the number of smartphones manufactured by this company that have defects that could…

Q: A manufacturer produces boxes of candy, each containing 10 pieces. Two machines are used for this…

A: There are two machines Define the Events, A : The machine is faulty  B : The the product contains no…

Q: There are a total of 19,883 IRSC students, 70% of which are under the age of 20. In a random sample…

A: Given that, N = 19883 P= 0.70 The number of students in the population is, X=N×P  =19883×0.70…

Q: A study at a college in the west coast reveals that, historically, 45% of the students are minority…

A: Given,n=75p=0.45mean(μp^)=p=0.45standard deviation(σp^)=p^(1-p^)nstandard…

Q: your high school, 42% of students are currently in a math class this semester. If you took a random…

A:

Q: 1 in a simple random sanpling if 50 people, find the prob that less than 38  perrcent of our sample…

A: Given : 40 %people are afraid of dogs , p = 0.4     1) in a simple random sampling if 50 people,…

Q: Six individuals, including A and B, take seats around a circular table in a completely random…

A: To find how many individuals (including A and B) would you expect to handle the message:

Q: The first quartile (Q1) of 2, 4, 4, 5, 6, 7, 8 is equal to 6. OOOO 2.

A: Given that, Data set: 2, 4, 4, 5, 6, 7, 8

Q: A breathalyser test is used by police in an area to determine whether a driver has an excess of…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: A random sample of 287 people are asked if they like eating hot dogs and 182 said they do. Comfort…

A: Suppose, p be the claimed proportion of people who like to eat hot dogs. and p^ be the sample…

Q: Of all the books at a certain library, if you select one at random, then there is a 90% chance that…

A: Percent: It is the hundred part of the whole It is denoted by '%' The percentage can be written in…

Q: In a study, it was found that 42.5% of the population drink soda at least once a day. You randomly…

A: It is an important part of statistics. It is widely used.

Q: A gray mouse has a 20% chance of stealing cheese from a mousetrap without getting caught, while a…

A: Given information: Given that the gray mouse has a 20% chance of stealing cheese from a mousetrap…

Q: If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of…

A: The probability of an individual catching the flu when he or she has taken Vitamin C is:  PF |…

Q: A study at an amusement park found that, of 10,000 families at the park, 1530 had brought one child,…

A: GIVEN DATA : In the amusement park, there are 10,000 family 1530 family have one child,  1810 family…

Q: An advertising agency wants to know whether the no of column inches of classified ad carried by 2…

A: Step1: The null and alternative hypotheses are,    H0: The median difference is zero      Ha: The…

Q: A production manager is interested to know if the distribution of defective items produced by three…

A: a) The contingency table of observed values is   Machine I Machine II Machine III Total No…

Q: A mail order company has an  8%  success rate. If it mails advertisements to  502  people, find…

A: Given that  Success of probability p=8%=0.08 Sample size n =502

Q: Market research has shown that 60% of persons who are introduced to a certain product actually buy…

A: A random variable X, said to follow binomial distribution if the probability mass function of X is,…

Q: It is claimed that the percentage of viewers tuned to a TV station's new sitcom is 30%. Out of the…

A:

Q: Data released by the Department of Education regarding the rate (percentage) of ninth-grade students…

A:

Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…

A: Given that 12% of the smartphones have defects. So probability of finding a defective smartphone is…

Q: Assume that when adults with smartphones are randomly selecte than 3 of them use their smartphones…

A: It is given that, 46% adults use smartphone in meetings or classes i.e. P(Using smartphone) = p=…

Q: The Department of Foreign Languages of a liberal arts college conducted a survey of its recent…

A:

Q: A mail order company has an 8% success rate. If it mails advertisements to 562 people, find the…

A: Here we need to use normal approximation to the binomial distribution.

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.