Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of cusine, 11 serve three different types of cusine, and 4 serve four different types of cusine. If a cusine is picked at random, what is the probability it is served at a restaurant with 4 different types of cusine?

Q: If 8 different books are arranged at random on a shelf, what is the probability that a certain pair…

A: The number of books are 8.

Q: Among registered voters nationally, 40% identify as Independent. 30% identify as Democrat, and 30%…

A: Given that P(Independent)=0.40 P(Democrat)=0.30 P(Republican) =0.30 P(Biden won| Independent) =0.65…

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: 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: How many 4-letter arrangements can be made from the letters of the word DEALING, such that: (i) two…

A: Number of arrangement of data can be calculated using either permutation or combination. Permutation…

Q: What is the probability that the set selected contains the letter A and does not contain the letter…

A: Here An experiment consists of randomly selecting a set of 5 letters from the 26 letters in the…

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: Of the people who fished at Clearwater Park today, 30 had a fishing license, and 20 did not. Of the…

A: For Clearwater Park Prob(P)=20/50=0.4=40% And Mountain View Park. Prob(P)=12/60=0.2=20%

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: A poll is given, showing 65% are in favor of a new building project. If 5 people are chosen at…

A:

Q: 2. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A: Given Dario puts 44 marbles in a box in which 14 are red, 12 are blue, 18 are yellow.

Q: If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly selected balls…

A: Given that there are 5 white balls and 10 red balls. Total number of balls is 5+10=15. And 5 balls…

Q: A poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

A: According to the given information, we have Probability, p = 70% = 0.70 Sample size, n = 8

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

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

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: There are total (5+10+12+10+8)=45 students.  Among them (12+10)=22 are mechanical or electrical…

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: what is the probability of getting at most one even-numbered card?

A:

Q: At a party, there are 32 men, 16 of whom are without dates, and 28 women, 12 of whom are without…

A: Addition rule of probability:Addition rule of probability indicates the happening either of the…

Q: A poll is given, showing 60% are in favor of a new building project. If 7 people are chosen at…

A: A poll shows that 60% are in favor of a new building project. Seven people are chosen at random.…

Q: From a bag containing 5 red, 8 black and 17 white balls, a ball is drawn. What is the probability…

A: From the provided information, A bag containing 5 red, 8 black and 17 white balls. Total balls = 5 +…

Q: Each letter of the word LOVEMATHS is placed in hat. If one letter is drawn randomly, what is the…

A:

Q: What is the probability of exactly two of the selected bulbs are rated 75-W? What is the probability…

A:

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: From a group of graduate students including 21 men and 11 women, 26 are chosen to participate in an…

A: Given Information: Number of men = 21 Number of women = 11  Total  = 21 +11 =32

Q: In a citrus orchard, it is found out that 15% of them are affected by a particular disease. find the…

A:

Q: A closet contains 8 pairs of shoes. If 4 shoes are randomly sele ted, what is the probability that…

A: A closet contains 8 pairs of shoes. If  shoes are randomly selected. We have to find the probability…

Q: Of the next 32 trials on the docket in a county court, 5 are homicides, 12 are drug offenses, 6 are…

A:

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that  An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: According to a survey, 68% of the Alabama households own a pet. Suppose we select 12 households at…

A:

Q: In a student body, 50% use Google Chrome, 12% use Internet Explorer, 10% Firefox, 5% Mozilla, and…

A:

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: a marble is selected at random from a jar containing 6 red marbles, 5 yellow marbles, and 4 green…

A: Given,  containing 6 red marbles, 5 yellow marbles, and 4 green marbles Probability= no. Of…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: 11. Of the 320 graduating students at a particular high school, 240 have applied to Universities,…

A: Given data: Total students=320 Students that have applied to Universities=240 Students that have…

Q: Of the entering class at a college, 75% attended public high school, 16% attended private high…

A: The following information has been given: Let A be the event that student is in the Dean's list. Let…

Q: In a group of 500 women, 120 have played golf at least once. Suppose one of these 500 women is…

A:

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A:

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

A:

Q: Of 350 workers surveyed in an industrial community, 65 worked in the lumber yard and 30 work in the…

A: Total number of worker surveyed in community is 350. The number of worker for yard is 65. The number…

Q: Of the people who fished at Clearwater Park today, 30 had a fishing license, and 20 did not. Of the…

A: Solution

Q: . A lottery game, LOTTOPLUS, is set up so that each player hooses seven different numbers from 1 to…

A: Given : Each player chooses 7 different numbers from 1 to 24

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: In a club with 8 male and 15 female​ members, a 5​-member committee will be randomly chosen. Find…

A: Given  In a club  Number of males = 8 Number of females = 15 Total members= 23

Q: There are nine women and four men on a committee. A subcommittee of three people is selected at…

A: All three people selected are women is denoted as A and all three are the same gender is denoted as…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: A jar holds 20 cookies, 14 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: Given a jar contains 20 cookiesNo.of cookies = 20No. of chocolate-chip cookies = 14No.of brussel…

Q: One card is drawn at random from a well shulfied pack of 52 cards. What is the probability that it…

A:

Q: if an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.