18. A group of 5 boys and 10 girls is lined up in random order — that is, each of the 15! permutations is assumed to be equally likely. (a) What is the probability that the person in the 4th position is a boy? (b) What about the person in the 12th position? (c) What is the probability that a particular boy is in the 3rd position?

Q: You have 7 Rolls Royces and 5 Lamborginis in your (rather large) garage. Every morn- ing, because…

A: As we are given with the number of cars and we have to choose a particular type of car for a number…

Q: An office employs 5 women and 3 men. During break time, the workers go one at a time into the coffee…

A: Given, No of women = 5 No of men = 3 Total = 8

Q: A bag contains 21 colored blocks. 5 of them are green 7 of them are red, and 9 are black You…

A: Given data: The total numbers of blocks are n=21. The numbers of green blocks are g=5. The numbers…

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: Let the students of sophomore year be denoted by S and freshmen be denoted by F.   Given: Number of…

Q: Suppose that there are four companies competing for five different government contracts. If the…

A: Introduction:The probability of an event in an experiment is the number of outcomes favorable to the…

Q: You are taking a 10 question multiple-choice test. If each question has four choices and you guess…

A: Given Data Probability of success,p =1/4 =  0.25 Probability of failure,q=(1- 0.25 )=…

Q: A box contains 4 red balls, 5 green balls and 1 yellow ball. We are selecting three balls from the…

A:

Q: The school collects 15 scripts from the Probability exam and 10 scripts from the Linear Algebra…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are…

A:

Q: You have 6 Rolls Royces and 7 Lamborginis in your (rather large) garage. Every morn- ing, because…

A: Total number of cars = 13 Total number of Rolls Royces = 6 Total number of Lamborginis = 7…

Q: box contains 5 blue marbles, 3 green marbles, and 9 red marbles. Suppose a group of 3 marbles is…

A: A box contains 5 blue marbles, 3 green marbles, and 9 red marbles.Total marbles=5+3+9=173 marbles is…

Q: 7. You are dealt 6 cards from a standard deck. (a) What is the probability that you have three pairs…

A:

Q: bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. (a)…

A:

Q: Q1/ In a group of 15 mixed plants, 6 are red, 8 are yellow and 3 are both. What is the probability…

A: Given information No of mixed plants = 15 No of red plants = 6 No of yellow = 8 Both = 3

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: A group of 5 boys and 10 girls is lined up in random order. (a)What is the probability that the…

A: The following solution is provided below

Q: What is the probability of winning a lottery game where the winning number is made up of three…

A:

Q: A bag contains 6 red marbles, 7 white marbles, and 9 blue marbles. You draw 5 marbles out at random,…

A:

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.