Let X be a random variable with mean 93 and standard deviation 13. If L = 3-2X what is the mean of L?
Let X be a random variable with mean 93 and standard deviation 13. If L =...
Let X be a random variable with mean 6 and standard deviation 4. If L = 8-3X what is the standard deviation of L?
If X is a random variable with mean -3 and standard deviation 2, Y is a random variable with mean 5 and standard deviation 3, and the correlation between X and Y is ρ Corr(X, Y) = .8, find Cov(2x-Y, X + 5Y). If X is a random variable with mean -3 and standard deviation 2, Y is a random variable with mean 5 and standard deviation 3, and the correlation between X and Y is ρ Corr(X, Y) =...
Let x be a normal random variable with mean 1000 and standard deviation 50. What is P(950 < x < 1100)?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
Suppose X is a normally distributed random variable with mean 67 and standard deviation 13. Then P ( 47 ≤ X ≤ 84 ) is roughly
Let X be a normal random variable with mean 50 and standard deviation 8. Find P(X < 65) P(X < 45) For what value of y is it true that P(X < y) =0.60?
Find the mean, variance and standard deviation for the random variable X: Random Variable X -2 1 3 P(X = x) 0.1 0.3 .6 Show the calculations that you need for each part. You will get no credit for using your calculator or Excel and only giving the answer. You should write out: mean = ........ (show how the mean is calculated) Vairance = .............. Standard Deviation = ................
Let x be a normal random variable with mean 20 and standard deviation 4. find p(16<X<22). A) 0.4672 B) 0.5328 C) 0.1498 D) 0.0328
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
What is the mean, variance, and standard deviation of the random variable x associated with the probability density function f(x)=3/14√x over the interval [1, 4].