Determine the value of sup1≤X≤2 log (E [X]) - E [log (X)], that is, of all random variables X taking values between 1 and 2, find the largest value of log (E [X]) - E [log (X)]. Also interpret what this question is asking.
The questions wants to check if the linearity of expectance rule
is valid in case of logarithms.
Determine the value of sup1≤X≤2 log (E [X]) - E [log (X)], that is, of all...
Determine the value of sup1≤X≤2 log (E [X]) - E [log (X)], that is, of all random variables X taking values between 1 and 2, find the largest value of log (E [X]) - E [log (X)]. Also interpret what this question is asking.
Let ?1,?2,…,??be a collection of independent discrete random variables that all take the value 1 with probability p and take the value 0 with probability (1-p). a) Compute the mean and the variance of ?1 (which is the same for ?2, ?3, etc.) b) Use your answer to (a) to compute the mean and variance of ?̂ = 1/n (?1 + ?2 + ⋯+ ??), which is the proportion of “ones” observed in the n instances of ??. c) Suppose...
Part D Without actually calculating the logarithm, determine what two integers the value of log 1.37x O9 falls between. The value of log(1.37 x 10) falls between Please Choose Please Choose 0 and 1 1 and 2 7 and 8 8 and 9 9 and 10 Submit Request Answer Part E Complete previous partís)
Let X1, X2, , xn are independent random variables where E(X)-? and Var(X) ?2 for all i = 1, 2, , n. Let X-24-xitx2+--+Xy variables. is the average of those random Find E(X) and Var(X).
Problem 4 Determine the value of c that makes the function: fry(x,y)s cry for 0 < x < 2 and 0 < y < 1 a valid joint probability density function. Determine the following: (c) P(X 1, Y> 0) (d) Marginal probability distributions of X and Y. What is the relationship between these random variables (e) P(Y X-1)
3. Use the probability generating function Px)(s) to find (a) E[X(10)] (b) VarX(10)] (c) P(X(5)-2) . ( 4.2 Probability Generating Functions The probability generating function (PGF) is a useful tool for dealing with discrete random variables taking values 0,1, 2, Its particular strength is that it gives us an easy way of characterizing the distribution of X +Y when X and Y are independent In general it is difficult to find the distribution of a sum using the traditional probability...
A)Find the inverse of the function f(x)=3+{2x-1 B) SOLVE log(x+2)+log 3 (x-2)=2 5. 6. vords e here to search ORI
Question 2. Comsider fcn log(2 - 2) (x2 + y2) (e) Find the level set of f which has value "height") wo 0, and describe it in words and set notation. Confirm that the point (2, 2, 1) is on this level surface, and that Vf(2,2, 1) is perpendicular to this surface. (f) Using cylindrical and spherical coordinates find feyl(p,9,2) and fsm(r, θ, φ). (g) Express the cartesian point (V3,-v3,-v/2) in cylindrical and spherical coordinates. Use your answers to directly...
Exponential and logarithms
2 log 5 + 1/2 log x = 2 4 : 0.2 e 2x-4 - 10 slog 2 (3x+1) + log 2 (2x - 1) = 3
6. Find the value of y a. log, 3) = y b. log, = y log (1125) = y d. 10° = y 15 =y 1 e 50 9. 200 7. Given the function and t f(0) = 2 g(x) = 5* Draw the 2 function. Which one grows faster with increasing & 8. Plot f(x) = log, (x) = y log2 (L) =y and g(x) =