10. Consider the random variable X whose probability distribution is given below: X Pr(X =r) 2k 5k 5k (a) Find the value of k. (b) Find the mean of 3X +1. (c) Find the variance of X.

Q: Q6 The actual volume of seven oil cans labeled as 12 liters are as follows: 11.77, 11.90, 11.64,…

A: We have given that,  The data set are : 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77 Then,  We…

Q: Do you carpool? Let l'represent the number of occupants in a randomly chosen car on a certain…

A:

Q: In a hypothesis test stated the following x Ho: µ = 1600; H1: µ # 1600. %3D the calculation of z…

A:

Q: A family's cat is pregnant with 4 kittens. If the probability each kitten will be gray like the…

A: here from given information  p = probability of kitten is not gray  =  1 - 0.49 = 0.51  n =  4

Q: Test scores for a given class are normally distributed with a mean of 80 and standard deviation 14.…

A: Given that, the test score is normally distributed with           mean,μ=80 and           standard…

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: Question * In a technology company, it is known that the average of network failure is 1 per week.…

A: The probability density function of poisson distribution is given by

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: YX -1…

A:

Q: The joint probability density function for X and Y is given by: ((x+ y) f(x,y) = 2 x > 0, y > 0,3x…

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

Q: (1) What is the value of E(X)? (2) What is the value of Var(X)?

A: Here use basic probability  Probability = (Favorable outcome)/ (total outcomes)

Q: [2 3 4] [1 3 07 If A =1 2 3 and B = | 1 2 1 find AB and BA. 1 1 2 0 0 2

A:

Q: The average time to get your order at a restaurant is 15 minutes. What is probability that you will…

A: here given ,  p(a ≤ X ≤ b) = ∫ab1μ e-x15 dx

Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and…

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

A: Given that

Q: Hi. I need help setting this up for my daughters homework. The question is: Lavon takes a commuter…

A:

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

A:

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

A: Given : Average, μ= λ = 3

Q: 16. A bag contains 4 chocolates, 7 jellybeans, and 9 gummy bears. A candy is picked from the bag.…

A: here use basic probability  probability = no of favorable outcomes total outcomes

Q: How many ways are there to distribute r+s identical balls among five different children such that…

A:

Q: 0, Find the mean and variance of X.

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: 2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the…

A: Given that - Suppose that the return R (in dollars per share) of a stock has the uniform…

Q: A system for a random amount of time X (in units of months) is given by a density Stxe*² ; x>0,…

A:

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: (a)   Determine the number of committees that the two men and two women can be selected.   The…

Q: Telephone calls enter a college switchboard on the average of two every three minutes. The…

A: here given , Telephone calls enter a college switchboard on the average of two every three minutes.

Q: VI. A three-digit number with no repeated digits is made from the digits 1 to 7. What is the…

A: Solution: From the given information, the digits are 1, 2, 3, 4, 5, 6 and 7.

Q: Question * Let X and Y be two continuous random variables with joint probability density function…

A:

Q: Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, .., 20} 1.…

A: Followings are the explanation of the question A number is drawn from the set {1,2,3,....,20} i.e.…

Q: Test scores for a given class are normally distributed with a mean of 80 and standard deviation 14.…

A:

Q: The problem involves empirical probability. The table shows the breakdown of 87 thousand single…

A:

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: A sum of 10 thousand dollars is invested at an annual rate R, i.e. the capital of the investor will…

A: Given the annual rate of  stoke I~Uniform0.07, 0.19 stoke II~Normal0.12, 0.022

Q: Four donuts and three muffins. A guest takes an item at random from the platter but does not replace…

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram…

Q: a multiple of 2 and a multiple of 5. b a multiple of 2 or a multiple of 5. chosen is 40}. Find the…

A: Followings are the explanation of the question Let Sample space is S = { 1,2,3,4,5,---------40} n(S)…

Q: s A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: Given that blue =8 white = 6 black = 4

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: Problem 1. , 1.0 a, 0.7 , 1.2 ,0.0 a, 03 a,2.0 A1.1 Suppose that the system shown in the above…

A: Given the pdf, the time to failure given as ft=ai20aitai-1e-t20ai

Q: Given that the moment generating function of a random variable X is e"12, using the Maclaurin…

A:

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

A: Followings are the explanation of the question Let Sample space is S = { 1,2,3,4,5,---------40} n(S)…

Q: 2. Let X be a Chi-squared random variable with density function fx(x) = oxp (-). > 0. Suppose Y is…

A: Solution

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

A: Given : λ = 3

Q: 1. Two risk neutral players compete to win a prize, P. The probability of winning depends on effort;…

A:

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

A: here use basic of mutually exclusive events

Q: glass Böttles from a vendor. The bottles are required to have an internal pressure of at least 150…

A:

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

A: Given information: fx,y=e-x+y, x>0, y>0 Let U=XY and V=XY implies that UV=X and UV=Y.…

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

A:

Q: In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target…

A:

Q: VIII.A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

A: It is assumed that c and d are actually questions 44 and 45 respectively. If there are n mutually…

Q: Example 11.3 sample mean was found to be Rs 900 and the standard deviation Rs 200. Construct an…

A:

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

A: