Determine the values of C so that the following functions represent joint probability distribution of the random variables X and Y 2.1 f(x, y) = cxy, for x = 1, 2,3 ; y = 1, 2, 3

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X -1 1 1/9 1/9…

A:

Q: If a random variable X is defined such that: E(X + 4) = 10 and E[(X + 4)²] = 116. Then the values of…

A: GivenE(x+4)=10E[X+4)2]=116

Q: Let X be a random variable with probability distribution as shown below: 25 2 < x < 10 f(x) = 3x3…

A:

Q: Suppose that 70% of all diners choose vegetarian meals when eating away from home. On a randomly…

A: Given : Probability of success,p = 0.70 Probability of failure,q=(1- 0.70)= 0.3

Q: 2. The sample of 120 chuck penetration, 1.00, 1.50, 2.25 and 3.25 distance are entered into…

A: 2. Null Hypothesis: H0: There is no significant difference in the mean torque force of the…

Q: Binomial Probability Review Practice 1. Allie plays on the varsity basketball team and makes 79% of…

A: The probability mass function (PMF) of the binomial distribution is given by               P(X=x) =…

Q: if we have 3÷2 and 1÷2   use clebsch gordan table.    and find also probablilty

A: The j values of clebsch gordan coefficients are 32 and 12.

Q: (a) Suppose that 20 % persons in a large group of people are obese. If persons are checked one by…

A: Given problems related to discrete probability distributions, we have to solve the problems as…

Q: these events? ittee

A: Here a committee of 4 is to be chosen from a group of 10 student. We have chosen Luis and Mercy…

Q: (a) Suppose that 20 % persons in a large group of people are obese. If persons are checked one by…

A: If we have a sequence of trials each having two outcomes, say Success and Failure, trials being…

Q: ) In an experiment, a ball is drawn from an urn containing 7 red balls and 8 yellow balls. If the…

A: The following information has been given: The number of red balls =7. The number of yellow balls=8.…

Q: a multiple of 3 but not a multiple of 5. 25. A number is chosen is a multiple of 2 and a multiple of…

A: Here, S: {1, 2, 3, ……., 40} So, n(S) = 40 Multiples of 2 : M2: {2, 4, 6, 8, …………. , 40} , n(M2) = 20…

Q: The numbers 1, 2, 3 and 4 are written separately on four slips of panes The slips are put in a box…

A:

Q: If the probability of a person winning on a scratch-off lottery ticket is 0.375, the odds of winning…

A:

Q: Let X be a random variable with probability distribution as shown below: , 2<x< 10 0, elsewhere f(x)…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10.E(X) + 5

Q: 49. Out of 15 rare books, 5 of which are especially valuable, 3 are taken at random by a friend.…

A: Probability is the chance factor and which can occur at any outcome of the random experiment. The…

Q: The following table shows estimates of activity times (in weeks) for a project: Optimistic Most…

A:

Q: The waiting time for the tenth customer to arrive to arrive at a pharmacy in a certain medical…

A:

Q: Scores for a common standardized college aptitude test are normally standard deviation of 115.…

A: Given Data : Population Mean,μ = 493 Population Standard Deviation,σ = 115

Q: I. Determine if the events below are mutually exclusive or not mutually exclusive.

A: here use basic of mutually exclusive events

Q: 26. In how many ways can: a. five people be seated in a row? b. eight people line up for…

A: Given that  In how many ways can:   a. five people be seated in a row?   b. eight people line up for…

Q: The joint probability distribution function of a discrete random variable is f(x,y) = cx y for x-1,…

A:

Q: V Use the given data below to answer item numbers 30 to 39. Class Interval f 4. 50-54 45-49 5. 40-44…

A: 30. The range of the distribution is - Maximum value - Minimum value = 54.5 - 19.5 = 35

Q: Then the value of E(g(X)) is: is:

A: here given pdf of x  here g(x) = 5X

Q: Problem 6: The networks Lab opens in the morning at 9:00 am. Students arrive at random for the Lab…

A:

Q: 11. A box of Mrs. Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How…

A: GivenNo.of honey dipped donuts = 8No.of bavarian dipped donuts = 6No.of chocolate filled donuts = 7

Q: The joint probability density function for X and Y is given by: ((x+y) x > 0, y > 0,3x + y < 3…

A: For the given joint probability density function, we need to find the probability:  P(0 &lt; X &lt;…

Q: Let X represent the full height of a certain species of tree. Assume that X is normally distributed…

A: Let X be the random variable from normal distribution with mean (μ) = 119.2, standard deviation (σ)…

Q: CNNBC recently reported that the annual cost of auto insurance is normally distributed with a mean…

A: Let X be the random variable from normal distribution with mean (μ) = 970, standard deviation (σ) =…

Q: Given the continuous random variables X and Y with joint probability density function: (x. y) =…

A:

Q: 4. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: The provided information is Box A contains 7 balls and Box B contains 16 balls. Therefore, Box A…

Q: The researchers infected each mosquito with malaria. The response variable was the log number of…

A: Given Information: Consider the given information: Control Wild Type Scorpine 7.2 5.6 0 7.4…

Q: The joint probability distribution function of a discrete random variable is f(x, y) = cx2,Jy for…

A: Given information:

Q: 17. A number card is drawn from a deck consist of 1, 2, 5, 8, 12, 15, 16, 20, and 25. Find the…

A: a number card is drawn from a deck consist of 1,2,5,8,12,15,16,20 and 25.

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures per week…

Q: Find the probability. A percentage distribution is given below for the size of families in one U.S.…

A: We use the given probability distribution table to find the required probability.

Q: Assume a postal code consists of 6 characters. Each character can be any letter from A to Z or any…

A: Given data Assume a postal code consists of 6 characters

Q: Question * In a health examination survey of a prefecture in Japan, the population was found to have…

A: Z-score formula : Z =(X - μ)/σ

Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: The following information has been given: The total number of articles =12. The number of defective…

Q: Let X be a random variable with probability distribution as shown below: 2 <x< 10 f(x) = 3x and g(X)…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10.E(X) + 5

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X 1/9 1/9 -1 1…

A: There are two type of variable, they are dependent and independent variable. Dependent variable is…

Q: Question * The joint distribution of the random variable X and Y is given in the following table: Y…

A: Given that

Q: 4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and…

A:

Q: The joint probability distribution function of a discrete random variable is f(x,y) = cx²y for x-1,…

A: Solution

Q: 10. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: For the given data Find all the required

Q: The joint PDF of two continuous random variables X and y is given: S(x, v) = e,x> 0, y> 0. Let U =…

A:

Q: a randomly chosen day there are 20 diners eating in the restaurant. The probability having more than…

A: Given n=20 P=0.70

Q: Let X and Y be two continmous random varíables with joint probability density function given by:…

A: First we have to calculate the Var(Y) as Var(Y) = E(Y2) - [E(Y)]2 Note : Since you have asked…

Q: 7. (8!7!) 5!4! 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: we know; n! = n*(n-1)*(n-2)*...*3*2*1 i.e.  n!=n*(n-1)!

Q: Question 2 Suppose that a die is rolled twice. Let X be the minimum value to appear in the two…

A: