Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Forty-one darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit. expected value variance standard deviation
Calculate the expected value, the variance, and the standard deviation of the given random variable X....
х 1 A probability density function of a random variable is given by f(x) = standard deviation. wi- on the interval (1, 3). Find the expected value, the variance, and the 2 The expected value is u (Round to two decimal places as needed.) The variance is Var(x). (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is on (Round...
x A probability density function of a random variable is given by f(x) = @ ż on the interval [4, 8]. Find the expected value, the variance, and the standard deviation. The expected value is u (Round to two decimal places as needed.) The variance is Var(x)=0 (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is o (Round the...
X 1 A probability density function of a random variable is given by f(x) = 10 - a on the interval [2, 8]. Find the expected value, the variance, and the standard deviation. The expected value is u ~ (Round to two decimal places as needed.) The variance is Var(X) ~ (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation...
A random variable X has an expected value of 10 with a standard deviation of 5. Let Y= 5 -2*X be another random variable. Find the expected value of Y and its standard deviation
Find the expected value, the variance, and the standard deviation, when they exist, for the probability density function. if O sxs 2 f(x) = 128 5, ify if x>2 375 What is the expected value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The expected value is u (Round to two decimal places as needed.) OB. The expected value does not exist. What is the variance? Select the correct choice below...
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. Also, calculate the expected value of X. Round solution to three decimal places, if necessary.x46710111219P(x)0.140.080.140.080.110.320.13μ=σ2=σ=What is the expected value of X ?E(X)=
3 The probability density function of a random variable on the interval [9, 16] is f(x) = x. Find the following values. a. Find the expected value The expected value is (Round to two decimal places as needed.) b. Find the variance. The variance is (Round to two decimal places as needed.) c. Find the standard deviation The standard deviation is (Round to two decimal places as needed.) d. Find the probability that the random variable has a value greater...
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...
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.) f(x) = 1 x on [1, e] E(X) = Var(X) = σ(X) =
he probability distribution of a random variable x is given. -196 -195 191 -189 -185 p(X = x) 0.20 0.25 0.15 0.10 0.30 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation