1.Write out and draw the marginal probability distribution of X. Show your work. 2. Find the mean and variance of X? Show your work. 3.Write out and draw the conditional probability distribution of X, given that Y = 2. Show your work.

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A: From the provided information, Two fair dice are rolled. Total outcomes = 36

Q: A survey of 44 students at a business school showed the following majors: 14 Accounting Finance…

A: Given;Accounting                14Finance                       7E-Commerce           5Management…

Q: The ten digits are written on ten seperate cards - A card 95. chosen randomly, the digit neplaced.…

A:

Q: Mexican restaurant, six with hot peppers and seven without. However, the restaurant forgot to label…

A: It is given that the 13 burritos. P( with hot peppers ) = p = 6/13 Sample size, n = 13 Here, p =…

Q: Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What…

A: Given information: Let A be a subset of the set 1,2,...n. The number of elements of A is r,…

Q: Suppose that the random variables X and Y have the following joint probability density function.…

A: Let X and Y are the random variables with having joint probability density function f(x,y).

Q: The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the…

A: Random sample(n) = 1540 True proportion who jog(p) = 0.15 q = 1-p = 1-0.15 = 0.85

Q: 1. What would be a reasonable guess for the distribution of each of the following. Also, please…

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

Q: 1) All of 120 different vitamin pills contain at least one of the vitamins x,y and z. 24 have A…

A: Given: Total pills (n)=120A =24B = 14C = 22all three (A,B and C)=12x = A and B, A and C, B and C

Q: If the probability that a student selected from the MST class is a Bartician is 0.01 and the…

A: It is given that  P( Bartician ) = 0.01 P( female and Bartician ) = 0.0065

Q: A manufacturer of light bulbs produces bulbs for which the lives are normally distributed with a…

A: Suppose a random variable x, defines the lifetimes of bulbs.

Q: Choose two points randomly from the unit interval. Find the probability that both points are closer…

A:

Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…

A: Given that probability density function is  f(x)= 0.075*X+0.2  then approximate value of f(x) at x=…

Q: 3. Suppose while on summer vacation your friend has brought 3 one-piece swimsuits, 2 cut-out…

A: given data 3 one pies=ce swim suits2 cut out swim suits4 two piece swim…

Q: Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005…

A: Given information- Population mean, µ = 25 minutes Population standard deviation, σ = 6.1 minutes…

Q: n is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the…

A: GIVEN DATA,A+=35.9     A-=6.1B+=9.5        B-=2.5AB+=3.2   AB-=0.60O+=37.4      O-=4.8WE HAVE TO…

Q: When a new machine is functioning properly, only 3% of the items produced are defective. Assume that…

A: Givenp=0.03sample size(n)=2Let "x" be no.of defectivesx~Binomial(n=2,p=0.03)P(X=x)=(nx)×px×(1-p)n-x…

Q: you purchase box after box until you have obtained 2 of these prizes. (a) What is the probability…

A: Given P=0.11 r=2

Q: 8. The mode for the distribution of random variable X, whether discrete or continuous is the value…

A: Mode find by using first order differentiation of the pdf

Q: suppose an 8-digit ID number is chosen at random. What is the probability that the ID number does…

A: By classical definition of probability, the probability of an event is the ratio of the number of…

Q: In 2016, more than 200,000 students took the AP® Statistics exam. Of these students, 14% earned the…

A: Z score is calculated using the combined value of mean and standard deviation. The z score is used…

Q: how did they come up with 47.5

A: Given that  Access time in milliseconds Frequency 30 but less than 35 - 17 35 but less than 40 - 24…

Q: Two dice are rolled. Find the probabilities of the following, as reduced fractions, and justify. Use…

A:

Q: An existing inventory for a test measuring self-esteem indicates that the scores have a standard…

A: Given Sample mean x̄=66, standard deviations σ=9, n=sample size=150 Level of significance ɑ=0.05

Q: ommute Time to urvey. If we assum robabilities. Use a

A: Given, The average commute to work (one way) is 25 minutes according to the 2005 American Community…

Q: How " P(Z>= -3.1965) " became " 1-symbol(-3.1965)"? Could you explain how you got the three last…

A:

Q: 5. Prove or refute the following: If f(x) and f(x) are two probability density functions, then a…

A: Given that, if f1(x) and f2(x) are two probability  density functions.

Q: If n = 11, μ = 5.5 and o = 2.8, find the mean and standard deviation of the sampling distribution of…

A: given data n = 11μ = 5.5σ = 2.8find mean and standard deviation of ampling distribution of the…

Q: In a​ state's Pick 3 lottery​ game, you pay ​$1.38 to select a sequence of three digits​ (from 0 to​…

A:

Q: P(ace of spades I card is black) Are the events "Ace of Spades" and "black" independent

A:

Q: Looking at a high school graduate over the age of 24 in the United States, the probability the…

A: It is given that  P( male ) = 0.53 P( bachelor/female ) = 0.61     Note: According to Bartleby…

Q: Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the…

A:

Q: A system consists of five components is connected in series as shown below. As soon as one component…

A:

Q: Brand A 1200 1000 900 800 700 3500 2000 300 700 Brand B 300 4000 100 100 100 100 100 100 100 The…

A: There are two sets of data Brand-A and Brand-B.

Q: An independent consumer group published its finding that the lifetimes of electric bulbs…

A: null hypothesis always stated in terms of nullifying the result or no difference results.So , null…

Q: The mean number of hours per day spent watching television, according to a national survey, is 3.5…

A: Given that  The mean number of hours per day spent watching television, according to a national…

Q: student is given a test consisting of 18 multiple choice questions, each having 3 possible answers.…

A: given data  n = 18 mcqs  each have 3 possible answers

Q: The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If…

A: Given that  Population mean =4300 Row score =6140 Z-score =( x - μ )/?

Q: small manufacturing company recently instituted Six Sigma training for its employees. Two methods of…

A:

Q: 5. The random variables X and Y represent the number of vehicles that arrive at two separate street…

A:

Q: Each of the letters of the word "S are placed in a bag. A card is ra probability that the card bears

A: Given, Each of the letters of the word "SUCCESS" is written on a card, and all the cards are placed…

Q: Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The…

A: As per bartleyby policy I answered the 1st three sub-parts......

Q: Jane

A:

Q: High school students from grades 9-10 and 11-12 were asked to choose the kind of band to have play…

A: Given grades 9-10, Rap- 35, rock-25, country-60 Given grades 11-12, Rap- 55, rock-30, country-40

Q: A decade-old study found that the proportion, p, of high school seniors who believed that "getting…

A: Givensample size(n)=220x=136sample size(n)=xn=136220≅0.6182confidence level(α)=0.05

Q: 2. The mean number of power outages in the city of Manila is 4 per year. Find the probability that…

A:

Q: 5. Using empirical probability, suppose you tossed a fair coin 500 times and noted that it landed on…

A: Probability=favorable/total

Q: We have three chips. A one-digit positive whole number is written on each side of each chip. The six…

A: A one-digit positive whole number is written on each side of each chip. The six numbers that are…

Q: Jeremiah filled a large gumball machine with 1,010 gumballs. All of the gumballs were either orange,…

A: total 1010 gumballs orange blue or yellow three colours n(orange) = 3n(yellow) n(blue) = 2n(orange)…

Q: The diameter of an oak tree trunk (y) depends on its age (x₂), height (x) and diameter of its crown…

A: From the information, given that   Let Y denotes the diameter of an oak trunk tree Let X1 denotes…