In how many ways can a class of 12 students be divided into 4 groups compose of 3 members each? (12C3) (9C3) (6C3)

Q: In a family of six children, what is the chance that at least three are girls?

A: Let X be the number of girl's  let p be the probability of getting girl  n be the sample size

Q: There are 3 sets of balls numbered 1 through 6 placed in a bowl. If 3 balls are randomly chosen…

A: We have given that There are 3 sets of balls numbered 1 through 6 placed in a bowl If 3 balls are…

Q: A jar containing 2 balled colored green and purple. An experiment consists of repeatedly drawing one…

A: Given that A jar contains two balls colored green and purple. Balls are selected with replacement…

Q: The intraocular pressure (lOP) detected in a the eyes of a randomly selected person is normally…

A: Let X be the intraocular pressure follows normal distribution with mean 15.5 and standard deviation…

Q: Before items from a production line are distributed, a manufacturing organization employs an…

A: Introduction: Denote X as the number of defects discovered in a box, when 3 goods from the box of 20…

Q: There are 15 members on the board of directors for the Hospital. If they must  elect a chairperson,…

A: Determine the number of ways to select a chairperson, a vice-chairperson, a secretary, and a…

Q: The number of tourists arriving in a certain tourist destination is assumed to follow a Poisson…

A: Givendaily mean rate of 500 λ=500x~Poisson(λ=500)P(X=x)=e-λ×λxx!   ; x≥0

Q: 3. A 4-letter word is selected at random from Σ*, where Σ= (a, b, c, d,e). (a) What is the…

A: Given that a 4-letter word is selected at random from Σ4, where Σ=a, b, c, d, e.

Q: , during the hours of heavy traffic on a bridge, the traffic is considered random with a volume of…

A:

Q: 3. Consider rolling a fair six-sided die, so that S = {1, 2, 3, 4, 5, 6}. Let X(s) = 5, and Y(s) =…

A: Given that  A fair six-sided die is rolled  S = { 1 , 2 , 3 , 4 , 5 , 6 }

Q: If the joint probability density of X and Y is given by f(x, y)=2 for x>0, y>0, x+y2/3); (c)P(X>2Y)

A:

Q: 9. Sarah has 9 crayons: 3 blue, 1 red, 2 green, and 3 yellow. a) In how many ways can she line them…

A:

Q: A bag contains eight balls: 3 red, 3 green, and 2 blue. You sample three balls without replacement.…

A: There are totally wight balls in a bag out of which 3 red, 3 green, and 2 blue.

Q: i) Let X be a random variable that is approximately normal. Assume the population standard deviation…

A: i)Givenstandard deviation(σ)=11.6confidence interval=95%Margin of error(E)=2

Q: The number of cavities in school-aged children and size of vocabulary are known to have a strong…

A:

Q: 3. The Cov(X) of a random vector X'= (X₁, ..., Xn) is defined as E{(X-E(X))'(X-E(X)}. True or false,…

A: We know that, X' is a vector and Covariance of a vector X is equal to the variance of X.  Which…

Q: The following table shows the joint probability distribution of the random variables x and y A.Are…

A:

Q: Exercise 2. In this question it is fine to use a calculator or computer to express your answers as…

A: Given that A and B form two random variables X1 and X2 by each rolling two dice. X1 is the sum of…

Q: Six different machines are being considered for use manufacturing rubber seals. The machines are…

A: Given data: 1 2 3 4 5 6 17.5 16.4 20.3 14.6 17.5 18.3 16.9 19.2 15.7 16.7 19.2 16.2 15.8…

Q: The results of a simulation of the event of tossing two fair coins 25 times is shown. What is the…

A: sumilation of the event tossing two faircoins. toss coins 25 times. P(TT) = ?as we know, formula…

Q: Find P(μ – 20 < X < μ + 26).

A: It is given that  The moment generating function of Poisson random variable X .

Q: A boiler has five identical relief valves. The probability that any particular valve will open on…

A:

Q: Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1…

A: Given that mean of geometric distribution is μ=1p &amp; σ2=qp2

Q: A frequency distribution is shown below. Complete parts (a) through (d). The number of televisions…

A:

Q: Discrete random variable X has probability mass function px as follows, where a is some positive…

A: Given that  x 0 1 2 3 4 5 P(x) 3a 2a a a a 2a

Q: A poll reported that 67% of adults were satisfied with the job the major airlines were doing.…

A: Given that n =15 ,p =0.67 ( b ) P( X =8 ) = ?

Q: The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year.Suppose…

A: Given that  n = 100 , p = 2% = 0.02  p = Probability of people audited in one year X : Number of…

Q: A certain text has one-third vowels and two-thirds consonants. Five letters are chosen at random,…

A:

Q: A regression model is desired relating temperature and the proportion of impurities passing through…

A: Data is given :  Temperature is independent Proportion of impurities is dependent We have to…

Q: The time it takes to grade an test has a mean of 5.45 minutes and a standard deviation of 1.2…

A: Given that.   X~N( μ , ?)   μ=5.45    , ?=1.2   Z-score =( x - μ )/?

Q: 8B and 7A Kindly solve Part B for Q8 and Part A for Q7 Needed to be solved required parts only in 30…

A: 7a.

Q: Suppose that on an average two tornadoes occur in 10 years in a county in Oklahoma. Further assume…

A:

Q: Prove: If ACB, then b. P(A| B)=P(A)/P(B).

A: Given information: If A⊂B,  That is, A∩B=A

Q: A local pizza parlor has the following list of toppings available for selection. The parlor is…

A: It is needed to select 3 distinct toppings.

Q: Baskin's Robbins has 8 different toppings to choose from for a bowl of ice cream. How many different…

A: There is total 8 different toppings.

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

A:

Q: How many ways can the letters in the word MANSANAS be arranged? O 6,720* O 3,360 O 1,680 O 40,320

A: The word is MANSANAS.

Q: Let

A: The numbers on a die are 1,2,3,4,5 and 6. Two dice are rolled so possible outcomes that have sum…

Q: ) A jar contains two balls colored green and purple. An experiment consists of repeatedly drawing…

A: Given that A jar contains two balls colored green and purple. Balls are selected with replacement…

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if: there are no repeats…

A: numbers : {3,2,7,6,0,4,9} number of digits n = 7 4 digit numbers formed.  repeatations are not…

Q: 1) Consider the following extensive form game of coordination. Firms 1 and 2 must choose between…

A:

Q: Assume y binomial (0, n = = 10). Suppose that y = 1 was observed. Consider the following priors for…

A: Given information: The information about Binomial distribution is given.

Q: A test consists of 10 multiple choice questions with four choices for each question. As an…

A: 12) From the given information, the number of choices for each of the question is 4

Q: You are forming an 9-member swim team from 13 girls and 16 boys. The team must consist of five boys…

A: We have given that that 9-member swim team from 13 girls and 16 boys  The team must consist of five…

Q: In a certain city, the daily consumption of electric power, in millions of Kilowatt-hours, is a…

A:

Q: 22% of adults would pay more for environmentally friendly products. You randomly select 10 adults.…

A: Given information: 22% of adults would pay more for environmentally friendly products. There are 10…

Q: (a) Explain why X meets the criteria to be a discrete r.v., and give its space. (b) Find the pmf of…

A: Here given ,  A bucket contains 10 ping pong balls, of which 3 are orange and 7 are blue. You draw…

Q: In a base-rate neglect experiment, subjects are randomly divided into two groups, namely A and B.…

A: Given that, Subjects in Group A are told that Max has been randomly drawn from a population of 95%…

Q: If one card is drawn from a deck, find the probability of getting these results. Enter your answers…

A: It is given that one card is drawn from a deck.

Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…

A: From the given information, Salinity in Quebec river is a combination of tides and rain. Rain that…