The qualified applicant pool for three management trainee positions consists of eight women and four men. (a) How many different groups of applicants can be selected for the positions?   (b) How many different groups of trainees would consist entirely of women?   (c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of three are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

Q: 2. The manager of a store buys portable radios in lots of 12. Suppose that, on average, 2 out of…

A: Given, Number of samples =12 and 2 out of each group of 12 are defective To find: The probability…

Q: In a lucky draw for 100 participants, there are 55 children and 45 adults. 35 children are boys, 30…

A: Using the given information we make a table.   Children Adult Total Male 35 30 65 Female 20…

Q: In a high school speech and debate club there 4 sophomore boys, 6 sophomore girls,3 junior boys, 5…

A: From the provided information, The table can be constructed as:   Sophomore Junior Senior…

Q: In a particular bag of skittles, there are 12 red, 14 orange, 10 green, 8 yellow, and 20 purple…

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

Q: Of the people who fished at Clearwater Park today, 45 had a fishing license, and 5 did not. Of the…

A: Given problem Given that   Of the people who fished at Clearwater Park today, 45 had a fishing…

Q: In a Internee program at Airline Company, 45 percent of the internees are female and 55 percent…

A: 1) Let 'F' represent the females, and 'M' represent the males. Similarly, 'B' represent the business…

Q: john, Juan, Antonio, and Eve are billing clerks in an office. Of the number of erroneous billings…

A: Let X = (X1, X2, X3, X4) be the erroneous billings prepared by Mark, Bill, Linda, Joan respectively.…

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

A:

Q: A surgical technique is performed on 10 patients. You are ance of success. Find the probability that…

A: Given data,Total no of patients n=10Chance of success is p=70%=0.70

Q: A car dealership has 6 red, 10 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A:

Q: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.  (a) What is the…

A: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

Q: The breakdown of the cars in a car dealership according to color is5% white, 27% black, 11% orange,…

A: Obtain the probability that the car is black. The probability that the car is black is obtained…

Q: A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift,…

A: Used formulas :  Probability= favorable/total No. of ways to select (n1,n2,...nr) objects from n…

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

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Fourteen jurors are randomly selected from a population of 4 million residents. Of these 4 million…

A: Given: Number of jurors (n) = 14 Probability of minority (p) = 0.42 Let X be binomial distribution…

Q: A car dealership has 7 red, 9 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: given data,7-red9- silver5- black 21- total ten cars are randomly selected we have to find out the…

Q: At a certain college, 28% of the students major in engineering, 18% play club sports, and 5 both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A standard admission test was given at three locations. Two thousand students took  the test at…

A: Given :  A standard admission test was given at three locations. Two thousand students took  the…

Q: A teacher at Soledad Prison has 22 thugs in his class, including the “extra-mean” thugs Bluto,…

A: We have to use hypergeometric distribution to find the probabilities.

Q: If administrators are selected randomly from the​ faculty, what is the approximate probability that…

A: Given that, No. of teachers = 2000 P(men) = p = 50% = 0.50 P(women) = q = 50% = 0.50 No. of…

Q: A box contains 5 red and 4 white marbles. Two marbles are drawn successively from the box without…

A: GivenBox containsNo. of red marbles = 5No. of white marbles = 4Total No. of marbles = 9

Q: b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown…

A: Calculations is shown below

Q: If we perform a paired t test and retain the null hypothesis, then what does this mean if we made…

A: The null and alternative hypothesis is,

Q: he 1992 US Senate was composed of 57 Democrats and 43 Republicans. Of the Democrats, 38 served in…

A: The probability of an event is the ratio of the number of favorable outcomes to the total number of…

Q: Personnel selection. Suppose that 9 female and 7 male applicants have been successfully screened for…

A:

Q: In a city, 40% of the population have brown hair, 25% have brown eyes and 15% have both brown hair…

A:

Q: In a recent three-way election for a school organization, candidate A received 20% of the votes,…

A: Let us define the following exhaustive probabilities. P(A)=p1= Probability of votes received by A =…

Q: 26. Packaging Error Because of a mistake in packaging, a case of 12 bottles of red wine contained…

A:

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

A:

Q: In Summit County, 60% of the voter population are Democrats. What is the probability that a random…

A: Givenp=0.60n=10Let "x" be the no.of Democrats contain in a…

Q: The chances of a delegate attending a certain seminar arriving via plane, bus, vehicle, or rail…

A:

Q: In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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.