(d) How many distinct committees of sizes 2, 3, 4 and 4 can be formed from a collection of 13 people ? (e) A committee of size n = 12 is to be formed from R = 6 students from Faculty I and N- R=9 students from Faculty II, where N = 15. What is the probability that there are r = 2 Faculty I students on the committee, if the committee members are selected so that all selections are equally likely ?

Q: what is the probability that at least 3 of the selected candidates will be women?

A: Suppose a company receives 200 job applications for a position, of which 75 are from women and 125…

Q: 3. From a lot of 10 construction materials, 4 are selected at random and tested. If the lot contains…

A:

Q: 7. Suppose a team of size 4 is to be selected from a group of 6 girls and 8 boys. Find the…

A:

Q: Fourteen jurors are randomly selected from a population of 3 million residents. Of theses 3 million…

A: a) Given that, total selected jurors=14 and minorities are 2   So,N=14x=2proportion, p⏞=xN=214=0.143…

Q: Suppose a college student organization has thirty-five members comprising exactly seven students…

A: A college student organization has thirty-five members comprising exactly seven students from each…

Q: Twelve jurors are randomly selected from a population of 3million residents. Of these 3 million​…

A:

Q: In a dish of jelly beans there are 6 blue, 10 green, 4 pink, 8 red, and 2 yellow jelly beans. Three…

A: There are total 6+10+4+8+2  = 30 jelly beans in the dish. 3 jelly beans are taken from the dish The…

Q: 10. A bowl contains 10 marbles: 3 red marbles, 5 blue marbles, and 2 white marbles. Three marbles…

A:

Q: A box consists of 6 Red balls, 4 Black balls, 7 Blue balls, and 3 White balls. If we conduct the…

A: Given box consists ,6 red balls, 4 black balls, 7 blue balls and 3 white balls.So total balls =…

Q: 3. An urn contains 9 silver balls and 3 gold balls. (a) Choose 5 balls at random without…

A:

Q: In a school, 60% of the students are arts major while 15 % of the students are history major, and…

A: Solution : Let, A : Students having arts major and P(A) = 0.60        B : Students having history…

Q: Suppose that n people, enumerated as 1, 2, · · · , n, sit randomly around a circular table. What is…

A: When no attention is given to the order of arrangement of selected objects, we get a combination.…

Q: 1. There are 5 professors from the Science Faculty, 4 professors from the Business Faculty and 3…

A: Solution

Q: A shipment of 9 typewriters contains 3 that are defective. Find the probability that a sample of…

A:

Q: 2.    Your semiconductor company has 2 fabs, Red Fab and Blue Fab.  Red Fab produces 27% of the…

A: It is required to find the probabilities of selecting Blue Fab’s chips exactly 5 out of 30 times,…

Q: If a class has 8 boys and 10 girls, determine the following ( assuming that the order of selection…

A: In question, Given that If a class has 8 boys and 10 girls. Then we'll find,  (a). The number of…

Q: 5. In a country telephone numbers consist of 7 digits where the first digit cannot be 1 or 0 (i)…

A:

Q: 2. A closet contains 13 different pairs of gloves. The 26 gloves are randomly arranged into 13…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: An employer wishes to hire 3 people from a group of 15 applications, 8 men and 7 women, all of whom…

A: Given ,        No of men = 8        No of women = 7       Total no of applications =15a) If he…

Q: A class consists of 25 students of which 10 are girls are 15 are boys; 4 girls and 6 boys were put…

A:

Q: twelve jurors are randomly selected from a population of 3million residents. Of these 3 million​…

A: a) It is given that, in the randomly selected sample of 12 jurors 2 are minorities.

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

A: n = 12 x  = 2  p = 0.44 1-p = 0.56

Q: In a group of 21 aliens, there are 6 Cybermen, 7 Daleks and 8 Jovians. (a)  Suppose that 5 aliens…

A: It is given that there are 21 aliens in a group, where there are 6 Cybermen, 7 Daleks, and 8…

Q: What is the probability of selecting a blue marble from a jar containing 15 red marbles, 10 green…

A:

Q: It is known that a certain a college, 20% of the students go to college by car. (a) If 20 students…

A: As per given by the question, 20% of the student go to college by car. Now, (a). if 20 student from…

Q: Dawn Corporation has 12 employees who hold managerial positions. Of them, 7 are female and 5 are…

A:

Q: Suppose that John and Tom are sitting in a classroom containing 9 students in total. A teacher…

A: The total number of possible outcomes is given by the binomial coefficient "…

Q: A jury pool has 23 men and 23 women, from which 12 jurors will be selected. Assuming that each…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose we have a fuse box containing 14 fuses of which 9 are defective (D). If 2 fuses are selected…

A: Permutation is the process which helps to understand the arrangement of data in a orderly way, it is…

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. Suppose the selection is made…

A: A committee of 5 is to be selected from a group of 6 men and 9 women.

Q: Suppose that 50% of American adults have attended a college for at least one semester. If we select…

A: Given data, p=50%=0.50 n=400 P(X>300)=?

Q: A professor tells his students that there will be 16 review problems for the final exam and that the…

A: We have to use hypergeometric distribution to find the probability

Q: In a class with 13 undergraduates and 10 graduate students, a 4-member panel will be randomly…

A: Given information, There are 13 undergraduates and 10 graduate students. Total student is 13+10=23.…