Consider the normal random variable X with mean 3 and variance 4. Find the best Chernoff estimate on P(X>=5).
Please do not use Z-table or Z-test. Solve only using Chernoff estimate. Thanks.
Consider the normal random variable X with mean 3 and variance 4. Find the best Chernoff...
Let X be a normal random variable with mean 4 and variance 3. Find the value of c such that P{|X − 4| > c} = 0.1 please solve properly.
1. The random variable X is Gaussian with mean 3 and variance 4; that is X ~ N(3,4). $x() = veze sve [5] (a) Find P(-1 < X < 5), the probability that X is between -1 and 5 (inclusive). Write your answer in terms of the 0 () function. [5] (b) Find P(X2 – 3 < 6). Write your answer in terms of the 0 () function. [5] (c) We know from class that the random variable Y =...
Consider a Gaussian random variable X with mean 8 and variance 3. Find z if P[X>10]=1- (phi)(Z)
. Suppose that Y is a normal random variable with mean µ = 3 and variance σ 2 = 1; i.e., Y dist = N(3, 1). Also suppose that X is a binomial random variable with n = 2 and p = 1/4; i.e., X dist = Bin(2, 1/4). Suppose X and Y are independent random variables. Find the expected value of Y X. Hint: Consider conditioning on the events {X = j} for j = 0, 1, 2. 8....
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 = ................
A Gaussian random variable X has mean 2 and variance 4 a) Find P(X < 3). (b) Find P(1 < X < 3) (c) Find P({X > 4}|{X > 3}) (d) Let Y = X^2 . Find E[Y].
7. X is a random variable with a mean of 2 and a variance of 3, and Y is a random variable with a mean of 4 and a variance of 5, and the covariance between X and Y is -3. Define (a) Find the expected value of W. b) Find the variance of W
3) Suppose X is a Normal RV with mean = 17 and variance = 4. Note this is the same random variable as in Question 2. Find (a) P&717<-1.5) (b) P(-1.25 < *=12 <.5) (c) P(+297 < 2)
A random variable X has a mean μ = 10 and a variance σ2-4. Using Chebyshev's theorem, find (a) P(X-101-3); (b) P(X-101 < 3); (c) P(5<X<15) (d) the value of the constant c such that P(X 100.04
Question 7 6 pts . If a continuous randaom variable X has a bell curve (normal distribution with mean 5 and variance 25, using the z table I gave you, find P(X < 5) Note X is continuous, X<5 same as X < =5 ) If a discrete randaom variable X has a approximate bell curve (normal) . distribution with mean 5 and variance 25, using the z table I gave (Here X<5 is not the same as X you,...