A box is divided into 9 equal sized compartments. A ball thrown in the box is equally likely to go into any one of these compartments. If 9 balls are thrown, calculate the probability for a particular compartments to contain (1) one particular ball only (ii) all the nine balls (iii) one of the balls.

Q: A restaurant owner speculates from his past experience that 20% of the customers cancel their…

A: We have to find probability case by case and the  add.

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

Q: A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the…

A: Obtain the probability that the committee consists only of women. The probability that the committee…

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: Find the probability of at least 2 female visitors in 16 visitors to Mt. Rainier National Park.…

A:

Q: In a dance class, there are 20 females and 25 males. Fifteen are dancers from G-Force. Eight of the…

A: Given information: n(F)=20n(M)=25Total=45n(G-Force)=15n(M∩G-Force)=8 Find: P(F∪G-Force)=?

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: A physics class has 40 students. Of these, 13 students are physics majors and 15 students are…

A:

Q: Suppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: The objective of this question is to find the probability of drawing two red marbles from a jar…

Q: The probability of being dealt a hand containing 3 spades, 4 hearts, 2 diamonds, and 2 clubs is.…

A: Here use hypergeometric distribution

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Given problem Given that   Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach…

Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

A:

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

A:

Q: A physics class has 50 students. Of these, 16 students are physics majors and 14 students are…

A: given data  n(total)  50 n(physics) = 16 n(female) = 14 n(physics and female) = 6 P(female or…

Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…

A: Given information: According to the given information, the total number of board members is n(S) =…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A:

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: A bottle contains 18 tablets of 6 aspirin, 4 tylenol and 8 advil. 6 tablets are randomly selected…

A: We have found that a bottle contains 18 tablets of 6 aspirin, 4 Tylenol, and 8 Advil.We selected 6…

Q: A physics class has 50 students. Of these, 17 students are physics majors and 18 students are…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: ach individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper…

A: Given letter is  : TENNESSEE Which contain nine letters we have formula for Probability=Possible…

Q: A physics class has 50 students. Of​ these,17 students are physics majors and 13 students are…

A: From given data, P(Physics majors)=17/50 P(Female)=13/50 P(Physics majors and Female)=4/50 P(Physics…

Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…

A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5

Q: A committee consisting of 4 members will be formed from 6 males and 3 females. If X is the number of…

A: no.of males=6 no.of females=3 Total no.of members=9

Q: A cookie is selected at random from a basket containing 10 peanut butter ​cookies, 8 caramel…

A: From the provided information, The basket contains 10 peanut butter cookies, 8 caramel cookies, 12…

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.