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: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: Suppose among 80 BBA students 10 are on academic probation, among 70 BSE students 15 are on academic…

A: E1: BBA   P(E1) = 1/3 E2: BSE  P(E2) = 1/3 E3: BAIS  P(E3) = 1/3 A: All four students are on…

Q: Twelve jurors are randomly selected from a population of 3 million residents. Of these 3 million…

A: Given Information: Sample size n=12 Population size N=3 million 47% are minorities i.e., p=0.47 Out…

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: In a certain shipment of 16 modems, 3 are defective. 10 of the modems are selected at random without…

A: Given Information: In a certain shipment of 16 modems, 3 are defective P(defective) = p=316=0.1875…

Q: urn has 7 balls that are identical except that 4 are white and 3 are red. A sample of 5 is selected…

A:

Q: 5-)Suppose 5% of men and 0.25% of women are color blind. Colorblind when the person is chosen at…

A: Given : Suppose 5% of men and 0.25% of women are color blind. Colorblind when the person is chosen…

Q: 2) If there are 10 coins in my pocket, 9 are ordinary and one is biased with 2 heads. If one of them…

A: It is given that that there are 10 coins, in which 9 are fair coins and 1 is biased with head on…

Q: 3. What is the probability of getting at most 4 tails heads when a fair of coin is tossed 6 times?

A:

Q: Suppose that the International University of Science and Management has 1100 female students and 900…

A: The probability that exactly 8 of the selected students are female is obtained below: From the given…

Q: what is the probability that one or more of the selected companies are located in the said global…

A: Suppose 18 major computer companies operate in the Philippines and that 12 are located in Bonifacio…

Q: 5. Suppose there are 8 fair coins and 12 unfair coins in a bag such that the unfair coins have a 75%…

A: Given there are 8 fair coins and 12 unfair coins in a bag such that the unfair coins have a 75%…

Q: 6. Suppose 47% of all adult women think they do not get enough time to themselves. An opinion poll…

A: From the given information p = 0.47 Sample size N =1025

Q: 13. Suppose that chips in an integrated circuit are tested and that the probability that they are…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: A fair coin is flipped 8 times, what is the probability that the coin does not turn up heads two…

A:

Q: 2) If there are 10 coins in my pocket, 9 are ordinary and one is biased with 2 heads. If one of them…

A:

Q: Twelve jurors are randomly selected from a population of 4 million residents. Of these 4 million​…

A: Given, n =  12 p = 0.47

Q: An advertisment claims that 63.8% of customers are satisfied with a certain bank. What is the…

A: Solution

Q: 3. Suppose a survey is taken of 30 managers of Whole Foods Market stores and it is determined that…

A:

Q: 1) Suppose that a bag contains one white chip and two red chips. Two chips are going to be selected…

A: The total number of chips in the bag is 3. The number of white chips is 1.

Q: Twelve jurors are randomly selected from a population of 4 million residents. Of these 4 million…

A: n = 12 x  = 2  p = 0.44 1-p = 0.56

Q: 4. Approximately 9% of men have a type of color blindness that prevents them from distinguishing…

A:

Q: Suppose there are 8 pieces in a box, of which 3 are defective and 5 are perfect. If 3 pieces are…

A:

Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: What is the probability that a card chosen from an ordinary deck of 52 cards belongs to a red suit?…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 8. Suppose that a cargo container at the port containing 25 bales of cashmere yarns contains 5 bales…

A:

Q: Twelvejurors are randomly selected from a population of 4 million residents. Of these 4 million​…

A: Proportion is almost similar to the concept of probability. Proportion is a fraction of population…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: p=0.5 (as they are equally likely to win a game as not to win) n=4   Let X~B(n,p)

Q: twelve jurors are randomly selected from a population of 5 million residents. Of these 5 million​…

A: Probably is a word which everyone uses in their life. This is the chance of guessing. The…

Q: 2) If there are 10 coins in my pocket, 9 are ordinary and one is biased with 2 heads. If one of them…

A: 9 fair(ordinary) coin 1 biased(2 headed) coin 10 total coins in pocket select one coin at random…

Q: Twelve jurors are randomly selected from a population of 3 million residents. Of these 3 million…

A: a. 2 out of 12 jurors chosen are deemed to be minorities. So, the proportion of minorities will be-…

Q: 2) Suppose that 6 balls will be randomly put into 4 urns (with each ball being equally likely to be…

A: Given,n=6p=14X=no.of balls put into the urnsX~Binomial(n=6,  p=14)P(X=x)=cxn px(1-p)n-x  ;…

Q: 6. Suppose there are 8 fair coins and 12 unfair coins in a bag such that the unfair coins have a 75%…

A: Given Suppose there are 8 fair coins and 12 unfair coins in a bag such that the unfair coins have a…

Q: andomly selected from a population of 4 million residents. Of these 4 million​ residents, it is…

A: a). Given: x=2n=12 The formula for proportion is,p=x/n The calculations for the proportion is as…

Q: Twelve jurors are randomly selected from a population of 5million residents. Of these 5 million​…

A: a).The proportion of the jury described is from a minority race is 2/12 = 0.17.b).The number of…

Q: 8. In a class of 16 students, 4 are undergrads. For the final project, students are randomly divided…

A: Probability:           Probability is deals with the random occurrence of events is known as…

Q: 19. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: We have given that  Success of probability p =33%=0.33 Number of trials n=10 X~binomial ( n ,p)

Q: Thirteen jurors are randomly selected from a population of 5 million residents. Of these 5 million…

A: Poisson distribution: A discrete random variable x taking values 0,1,2, ... is said to follow a…

Q: A group of kids containing 19 boys and 11 girls is lined up in random order - that is, each of the…

A: Number of ways that 19-th position is a boy= 19*(29!).  Because we have 19 boys, any one of them can…

Q: Twelve jurors are randomly selected from a population of 5 million residents. Of these 5 million…

A: Given Information: In a population of 5 million residents, 46% are of minority race. Of the 12…

Q: Thirteen jurors are randomly selected from a population of 5 million residents. Of these 5 million…

A: Given Number of minority jurors =2 Number of jurors=13

Q: 2. What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors…

A:

Q: Twelve jurors are randomly selected from a population of 55 million residents. Of these 55 million​…

A: Note: Thank you for the question. For this calculation, we are considering among the 12 jurors…

Q: 1) If the probability is 0.70 that any one registered voter (randomly selected from official roles)…

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

Q: Suppose it is known that the probability of recovery for a certain disease is 0.4. If random sample…

A:

Q: Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown…

A: Given information: Three of the ten machines are defective. Two machines are selected at random…

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.