Calculation need to be done using R
Calculation need to be done using R Suppose X is a random variable taking on possible...
Suppose X is a random variable taking on possible values 1,2,3 with respective probabilities.4, .5, and .1. Y is a random variable independent from X taking on possible values 2,3,4 with respective probabilities .3,.3, and 4. Use R to determine the following. a) Find the probability P(X*Y = 4) b) Find the expected value of X. c) Find the standard deviation of X. d) Find the expected value of Y. e) Find the standard deviation of Y. f) Find the...
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
Let the expected value of random variable X be a, the expected value of Y be b, and the expected value of Z be c. Find E(4 − 2X + 3Y − 10Z).
Let random variable X take the values 5, 5 and 12 with respective probabilities 0.2, 0.4 and 0.4. a.What is the expected value of X? b.What is the variance of X? c.What is the standard deviation of X?
5. A discrete random variable, X, has three possible results with the following probabilities: Pr [X 2 /3 No other results can occur. (a) Sketch a graph of the probability function (b) What is the mean or expected value of this random variable? (c) What are the variance and standard deviation of this random variable?
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) =...
The density of random variable X is f(x) = 5(Xº+1)(3-X) for 1<x<3 and 0 otherwise. Using the R integrate function: 68 a) Find the probability that X > 2.10 b) Find the probability that 1.5 < X < 2.5 c) Find the expected value of x d) Find the standard deviation of X e) In the following paste your R script for this problem
udent Center Navigate FIU At 5 The probabilities of the discrete random variable X are taking values shown in the table: 6 8 10 4 2 2 Х PIX-x) 0.34 0.10 0.07 0.18 0.31 What is the standard deviation of the distribution? (Round your answer to the third decimal place) . None of the given numerical values is correct 0.121 6.000 Not enough information to answer the question ОО 10.000 2.214 0.200 3.162
Question 10 2 pts The probabilities of the discrete random variable X are taking values shown in the table: X 2 4 6 8 10 PIX=x) 0.18 0.31 0.34 0.10 0.07 What is the standard deviation of the distribution? (Round your answer to the third decimal place) O 2.214 0.200 6.000 O 0.121 Not enough information to answer the question O 10.000 None of the given numerical values is correct 03.162
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of