Q3: Let & and Y be the means of two independent random samples, each of size n from the respective distributions N(H,a) and N(42, a), where the common variance is known. Find n such that P, (8 -9 -

Q: Find P(X = 3), P(X = 6), P(X less than or equal to 3),

A: According to our guidelines we are solving only first three sub-parts of given question and rest…

Q: A synoptic uses Bernoulli random variable X to describe the weather conditions within one year…

A:

Q: Assume both follow a Normal distribution. What can be concluded at the a = .01 level of…

A: Given: n1 = 10 n2 = 10 α = 0.01 Formula Used: Test-statistic t = X1-X2sp1n1+1n2 sp =…

Q: A random sample of 370 in size is taken from a population with a mean of 7850 and unknown variance.…

A: GIVEN DATA,  sample size =370population mean =7850population variance is unknown the sample variance…

Q: calculate the square of the sum of the three values. 5) calculate the variance 6) calculate the…

A: Given three values , let us find variance  and ad step by step.

Q: If X1, X2, .., Xn are mutually independent normal random variables, with their means all equal to 3…

A: From the given information, E(Xi)=3V(Xi)=10

Q: Suppose the variance of the difference of two random variables X and Y is zero. Then, show that X =…

A: A random variable is a function that associates a real number with each element in the sample space.…

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

Q: Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent candidate of…

A: Number of men workers = 70% Number of women workers = 30% 500 people are surveyed at random

Q: The random variable Y has the Poisson distribution with a mean of 50. (a) What is the variance of Y?…

A: Let Y have a Poisson distribution with a mean of 50.The PMF of Poisson distribution with a mean of…

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: 6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and…

A: Given that Diabetic--- Mean = 126 , variance = 60 Non diabetic --- Mean = 121 , variance = 40 P (…

Q: Let X and Y and Z are uncorrelated random variables with the same variance. Find the correlation…

A:

Q: Time spent by students studying daily is a uniformly distributed random variable with mean = 136…

A: Solution: 1. Let X be the time spent by students studying daily. From the given information, X…

Q: The number of cracks that need repair in a section of interstate highway follows a Poisson…

A: For a discrete random variable X ~P(m) the pmf is given as :   P(X=x) = e-mmxx!      , x=0,1,2,3,...…

Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…

Q: Question 2: The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. Each value is…

A:

Q: Let X represent the number that occurs when a 5-sided red die is tossed and Y the number that occurs…

A: a)The random variable X defines the number that occurs when a 5-sided red die is tossed.

Q: Each day a random number, N ,of visitors make a purchase. The mean of N is E(N) = 12.8 and its…

A: Given information: EN=12.8VN=8.5EXj=130.0VXj=42.0 Y=∑j=1NXj

Q: Find the approximate mean and variance of Y = √X, where X is a random variable following a Poisson…

A: