1. Why is it so much more likely that some pair of people at a party will have the same birthday, than that someone at the party will have a birthday today?
Q: 2. If a number between 1000 and 9999 is chosen uniformly at random, there is a chance that chance…
A: Let us define some events A : A number between 1000 and 9999 is palindrome. B : A number between…
Q: A certain little-known human language consists of only nouns and verbs. A sentence begins with a…
A:
Q: 3. An art dealer receives a shipment of five old paintings from abroad, and, on the basis of past…
A:
Q: 1) In a bag there are 2 blue balls, 10 green and 20 red all of equal size and shape. A kid takes at…
A: Given Blue=2 Green=10 Red=20 Total blue balls in bag=M=2 sample size (n)=5
Q: choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the…
A: Problem is solved using basic concept of probability.
Q: 2. There are 16 members in Mathematics Society, where 7 of them are S4 students, 6 of them are S5…
A:
Q: What is the probability that he/she does not study any of the three languages? (b) What is the…
A: Since you have posted questions with multiple sub-parts, we will solve the first three sub-parts for…
Q: 4. The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is…
A: Detailed explanation mentioned below
Q: A certain little-known human language consists of only nouns and verbs. A sentence begins with a…
A: As per the bartleby policy I answered the first three subparts
Q: Suppose that 80% of all customers who regularly purchased in this store choose an electronic…
A: Let K be the event for Keyboard G be the event for guitar C be the event for cello
Q: 4. An airline offers two types of economic classes (a and b) on its flights and a class Executive In…
A: There are 2 Economic classes A and B . Probability of choosing these classes are :P(A)=P(B)= 1/2Let…
Q: Assume that observing a boy or girl in a new birth is equally likely. If we observe four births in a…
A: We have given. Assume that observing a boy or girl in a new birth is equally likely. If we observe…
Q: 7. Suppose a jar has 100 coins, of which some are real, with heads and tails sides, but some are…
A: The conditional probability of happening of event A when event B already happened, can be expressed…
Q: 4. An electrical system consists of identical components that are operational with probability p…
A:
Q: 4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history,…
A: As per our guidelines we are suppose to do only one question4.GivenTotal no.of students in a class…
Q: 2. Suppose that we have three cards identical in form except that both sides of the first card are…
A: Let us define some events A : card with both sides red is selected. B : card with both sides black…
Q: 2. A hallway has 8 offices on one side and 5 offices on the other side. A worker randomly starts in…
A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…
Q: A certain little-known human language consists of only nouns and verbs. A sentence begins with a…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…
A: The total number of students is 100. The number of students studied mathematics is 55. The number of…
Q: What is the probability of drawing two red marbles, followed by three blue marbles, and then two…
A:
Q: 3) Each year a college awards five merit scholarships to entering freshmen with exceptional high…
A: PBoth men and women will receive scholarships=1-POnly men or only women will receive…
Q: You are the sales manager for a large high-end clothing store. You have a total of 100 salespeople…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic…
A: Topic A:Two books are ordered Topic B:Four books are ordered X: Number of ordered books arrived in…
Q: 1. A parking lot has seven spaces for seven cars. The spaces are next to each other and the ones on…
A: Given, A parking lot has seven space for seven cars. The space is next to each other and the ones on…
Q: 4. Bubble tea machine in the local shop can be either working or broken on a given day. If it is…
A: this problem, a machine is described, and we're told that there are three states that machine can be…
Q: 1)In the entire group of first-year statistics students, half own a calculator (h), and the rest…
A: The set number of possible outcomes of an experiment is called sample space. The favourable outcomes…
Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…
A: Number of students=300 Number of students in Statistics=85 Number of students im Mathematics=65…
Q: 2. There are two boxes. Box A has 3 white chips and 1 red chip, Box B has 2 white chips and 1 red ch…
A: In this case, color Box A has 3 color W chips and 1 color R chip.
Q: Suppose a woman claims to be a clairvoyant. Specifically, she claims that if she is presented with 8…
A: From the given information, She will correctly identify the color of at least 6 of the cards without…
Q: 4. A person answers each of three multiple choice questions at random. If there are four possible…
A: Let X be the number of correct answer n be the sample size p be the probability of correct answer
Q: In the online multiplayer social deduction game Among Us, you are either a Crewmate or an Impostor.…
A: Total number of players = 10 Total number of crewmates = 7 Total number of imposters = 3 If each…
Q: Find the probability that a randomly chosen student received an A in general chemistry or calculus.
A: In a recent semester at a local university, 530 students enrolled in both General Chemistry and…
Q: Suppose 13 people want to schedule a regular meeting one evening a week. What is the probability…
A: Given: Number of people, n=13. The objective is to find the probability that there is an evening…
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- 3. An urn contains 10 red, 15 blue and 25 green balls. (a) Eight balls are chosen without replacement. What is the probability exactly 4 of the chosen balls are green? (b) Now four balls are chosen from the urn without replacement. What is the probability the first chosen ball is red, the second chose ball is green, the third chosen ball is green and the fourth chosen ball is blue?8) In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0.9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0.7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam?Example 6: six probabilists arrange to meet at a Hotel in a town. It happens that there are six parks of the same name in the town. What is the probability that (a) all of them meet (b) No three persons are in the same park.
- 30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.What is the probability that in a group of n people at least two of them will have the same birthday. Leap year is excluded.1.) An archer can hit the bullseye of a target with an accuracy rate of 83%. Arrows hitting the bullseye are independent of each other. The archer is about to take 6 shots. Let X = the number of arrows (out of 6) that hit the bullseye. Describe the shape of the distribution, center, and spread of the distribution of X.
- 11. A car hiring company has 12 Tata sumos and 8 Qualis. If 5 of these cars go to workshop for repairs and Tata Sumo is as likely to be in for repair as a Qualis, what is the probability that (i) 3 of them are sumos and 2 are Qualis; (ii) at least three of them are sumos and (iii) all of them are of same make.2. Use Bayes' theorem to solve the following: There are two bags. The first bag contains four mangoes and two apples; the second bag contains four mangoes and four apples. We also have a biased coin, which shows "Heads" with probability 0.6 and "Tails" with probability 0.4. If the coin shows "Heads". we pick a fruit at random from bag 1; otherwise we pick a fruit at random from bag 2. Your friend flips the coin (you cannot see the result), picks a fruit at random from the corresponding bag, and presents you a mango. What is the probability that the mango was picked from bag 2?4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
- 5. Suppose you live in an extremely unfortunate climate where it always rains on weekends (Saturday and Sunday). For that matter, there is always a chance of rain on a weekday (Monday-Friday) as well. If you have completely forgotten which day of week it is (so that it is equally likely to be any of the seven days), but you go outside and see that it's raining, what is the probability that it's the weekend?04. The components of a 6-component system are to be randomly chosen from a bin of 25 used components. The resulting system will be functional if at least 5 of its 6 components are in working condition. If 15 of the 25 components in the bin are in working condition, what is the probability that the resulting system will be functional?
