Situation A landscape gardener employs several students to help him with his work. One morning they come to work and take their gloves from a communal box. This box contains only five left-handed gloves and eight right-handed gloves. Required 1. If two gloves are selected at random from the box, without replacement, what is the probability that both gloves selected will be right handed? 2. If two gloves are selected at random from the box, without replacement, what is the probability that a pair of gloves will be selected? (One glove is right handed and one glove is left handed.) 3. If three gloves are selected at random from the box, with replacement, what is the probability that all three are left handed? 4. If two gloves are selected at random from the box, with replacement, what is the probability that both gloves selected will be right handed? 5. If two gloves are selected at random from the box, with replacement, what is the probability that a correct pair of gloves will be selected?

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: A Jury consists of five men and seven women. Three Jury members are selected at random for an…

A: It is given that  Number of men = 5 Number of women = 7 Total = 12 Sample size = 3

Q: You have just created a probability distribution - a table that shows all the possibilities for an…

A: You have just created a probability distribution - a table that shows all the possibilities for an…

Q: 100 employees of a company are asked how they get to work and whether they work full time or part…

A: Given that there are 100 employees Public transportation :10 full time & 9 part time. Bicycle :…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: The probability that exactly 2 of the rocks are sedimentary is

A:

Q: 71% of all students at a college still need to take another math class. If 5 students are randomly…

A: Solution: Given that, 71% of all students at a college still need to take another math class p=0.71…

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

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

A:

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

A:

Q: Pip is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he…

A: GivenThe probability that a bow tie is designed with zigzags = 0.5The probability that a bow tie is…

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: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: In one town, 52% of all voters are Republicans. If two voters are randomly selected for a survey,…

A:

Q: You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What…

A: There are a standard deck of 52 cards and we have to find probability of choosing an ace, a spade,…

Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 type A​ balls, 4 type…

A: Total number of balls=6+4+3=13

Q: On a grocery store shelf, there are 16 loaves of white bread and 15 loaves of wheat bread. A shopper…

A: The objective of this question is to find the probability that a shopper randomly selects a loaf 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: In a class of 30 students, 12 students play basketball and 18 students play football. If 6 students…

A: Ans: - Given, a class of 30 students,         12 students play basketball and 18 students play…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Xerxes, Murray, Stav, Zeke, and Georgia  are invited to a dinner party.  They arrive in a random…

A: First-person can arrive in 5 ways. Second-person can arrive in 4 ways. Third-person can arrive in 3…

Q: 65% of all students at a college still need to take another math class. If 5 students are randomly…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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

A:

Q: student has to choose an elective class for the last term of college. His counsellor suggested 8…

A:

Q: Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They arrive in…

A: GivenThere are total 7 peopleTotal no of ways they can arrive is 7!No of ways Xerxes arrives first =…

Q: A law firm has six senior and four junior partners. A committee of three partners is selected at…

A:

Q: 4. At a High school, 70% of the seniors have taken an advance calculus course. Of those who have…

A: Let us denote:A=Advanced calculus courseB=Pre health science majorGiven that P(A)=70%=0.70,…

Q: Suppose are running a study/poll about the probability of catching the flu this year. You rand…

A: Given data,p=0.68n=80x=53p'=xn=0.6625Test statistic z=?

Q: a. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math…

A: Given that 64% of all students at a college still need to take another math class and 4 students are…

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.