3. There are 10 distinct pairs of socks in my drawer, all mixed up. What is the probability that I can form a complete pair' by picking four socks at random? Find the distribution function of the number of complete pairs.

Q: Suppose the commuting time on a particular train is uniformly distributed between 34 and 54 minutes.…

A: Let's assume X = The commuting time on a particular train  As given, the commuting time on a…

Q: the probability that more than 17 of the students smoke?

A: Given : n=75 , p=0.277 , q=1-p=1-0.277=0.723 Here  np=75*0.277=20.7750>5 and…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55…

A: Continuous uniform distribution: A random variable X is said to have the rectangular distribution…

Q: Suppose that 63% of all voters prefer the Democratic candidate. Let X be the number of people who…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: An airline knows from experience that the distribution of the number of suitcases that get lost each…

A: An airline knows from experience that the distribution of the number of suitcases that get lost each…

Q: Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red; two marbles are picked at…

A:

Q: Of 500 employees at a university, 45% are female. A sample size of 60 employees is chosen at random.…

A: Note: Use the finite correction factor if n/N is greater than 0.05. Therefore, the Finite…

Q: A person who took the survey is selected at random. 1. What is the probability that the person has a…

A: The given data can be described as   $40000 or less more than $40000 Total Diploma 44 101 145…

Q: A corporation receives 120 applications for positions from recent college graduates in business.…

A: Given: p=0.4 n=120

Q: 2) The manager of a restaurant believes that waiters and waitresses who introduce themselves by…

A: Given information: x¯1=18, σ1=3, n1=10x¯2=15, σ1=3, n2=10    Null hypothesis: H0 : μ1=μ2Alternative…

Q: Suppose that the discrete random variable X counts the number of heads in four tosses of a balanced…

A: If acoin is tosses then the probability of getting a head isP(getting a…

Q: a lot of 75 washers contains 5 in which the variability in thickness around the circumference of the…

A: P(X=1)=?

Q: 4) Suppose that among employed women, 25% have never been married. Suppose we randomly sample women…

A: Formula : Geometric distribution is given by

Q: A box containing 8 yellow and 5 red marbles. If two marbles are to be drawn at random without…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: 2. What is the probability that the mean salary of random sample of 100 workers is no more than $54,…

A: Given Mean=mu=54,000, sigma=5000, n=100

Q: It is assumed that 78% of the seeds of a certain type of wheat germinate. If we randomly select 340…

A:

Q: . Suppose that 25% of all students at a large public university receive financial Let X be the…

A: Givenp=0.25n=50Let "x"be students receive aidx~Binomial(n=50,p=0.25)P(X=x)=(nx)×px×pn-x   ;…

Q: According to a survey, 31% of employees working at a very large company are happy with their jobs.…

A: 31% working employees of a large company are happy with their jobs. So, probability that an employee…

Q: 6. Based on U.S. Bureau of Justice data, 16% of those arrested in the U.S.A. are women. In one state…

A: Given, p = 0.16 sample  size n = 400 Mean E(x) = np = 0.16 *400 = 64 Standard deviation σ =…

Q: 3. If 12% of resistors produced in a run are defective, determine the probability distribution of…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted..... Given…

Q: Suppose a certain study reported that 27.7% of high school students smoke. Random samples are…

A: Solution solution:- Let 'X' be the no.of people in sample that smokertherefore, X~Bin(n,ρ)   n=60,…

Q: 2. Assume that30% of students at a university wear contact lenses.A random sample of 100 students is…

A: Given Information: Population proportion (p) = 0.3  Sample proportion (px) = 1/3 = 0.33  Sample size…

Q: What is the probability distribution function of the number prime numbers when a number between 1…

A: Solution: Given data; Prime  number  from 1 to 25,inclusive,  randomly selected. To find:…

Q: As of 2019 the distribution of the U.S. population by race and ethnicity is as follows: White: .601…

A: Given information: The distribution of the U.S. population by race and ethnicity is: White: .601…

Q: 2.)  When adults with smartphones are randomly selected, it was found that 54% of them use their…

A: Given p=0.54, n=20 X : Number of adults who their phones in meetings.

Q: According to a study done by a university​ student, the probability a randomly selected individual…

A: (a) Obtain the probability that among 10 randomly observed individuals exactly 6 do not cover their…

Q: . Based on the data in the Statistical Abstract of the United States, the probability that a newborn…

A:

Q: It is estimated that 55% of the freshmen entering a particular college will graduate from that…

A: Let us assume X=the number of graduates in 4 yearsn=sample size=5p=probability of success= 55%=0.55X…

Q: The number of students in each of the residences is distributed according to a ____________________…

A: Given, Number of students= N = 1000 Number of campus = 4

Q: Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red; two marbles are picked at…

A: Answer - Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red.                Two…

Q: 2. Suppose in a sample of size 10 articles, the probability that a single article will be…

A: Givensample size(n)=10The probability that a single article will be nonconforming (p)=0.1

Q: A committee of size 5 is to be selected at random from 3 women and 5 men. Find the probability…

A:

Q: 3. Suppose that a box contained seven red balls and three blue balls. If four balls are selected at…

A: In question, Given that a box contains 7 red balls and 3 blue balls, 4 balls randomly selected…

Q: A process yields 10% defective items. If 100 items are randomly selected from the process, what is…

A:

Q: 5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson…

A: Solution: 5. a. Let X be the number of insects caught in a spider’s web in two days. From the given…

Q: The number of new customers per week is Poisson with mean rate 4. What is the probability of 2, 3,…

A:

Q: 3) What is a probability of selecting a customer whose expenditure is differ than the population…

A: Given Information: The expenditure for all customers at this supermarket is normally distributed…

Q: Find the probability of meeting at least one left-handed person in eight random encounters on campus…

A:

Q: According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A lot of 75 washers contains 5 in which the variability in thickness around the circumference of the…

A: Given : population size, N = 75 number of successes in the population, m = 5…

Q: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied…

A: From the provided information, Sample size (n) = 1010 60% of all adults are very satisfied with…

Q: 13. Suppose that a lot of 5000 electrical fuses contain 5% defectives. If a sample of five fuses is…

A: Given,n=5000p=0.05here A random variable X~Poisson(λ)because n is large and p value very smallso ,…

Q: Suppose 18 major computer companies operate in Canada and applied for a tender. Six of them are in…

A: The probability of companies in Waterloo = 6/18 = 1/3 =p n = 5

Q: A bag contains 12 chips. 4 of the chips are red, 6 of the chips are white, and 2 of the chips are…

A:

Q: In a certain population an average of 7.7 new cases of esophageal cancer are diagnosed each week.…

A:

Q: Suppose 3% of items manufactured at a facility are defective. A random sample of 600 items are…

A:

Q: Suppose a certain study reported that 27.7% of high school students smoke. Random samples are…

A: Solution: Given data: p = 0.277 Population size (N) = 632 students Sample size (n) = 60 To find: The…