Question
If X and Y are independent random variables and
Var(X)=Var(Y)=4, then find Var(2X-3Y+1)?Solution
Var(2X-3Y+1) = (2)^2*VarX + (3)^2*Var(Y) + Var(1) = 4*4+ 9*4 = 16+36 = 52 Since, variance of constant is 0, so Var (1) is 0.
There is a fraction such that if we add 11/30 to it then it gets inverse & if we subtract 1 from numerator then the fraction becomes 2/3 . What is the f...
If the numerator of a fraction is increased by 25% and the denominator is decreased by 10%, the value of the new fraction 25/24, Find the original faction.
A man distributed some candies to his three sons A, B and C. A, being the eldest got two times the number of candies that C got while A and B together...
If 5 friends equally share a pizza, and each friend eats 3/8 of the pizza, what fraction of the pizza is left?
Numerator of a fraction is 4 less than the denominator. If 6 and 7 are added to numerator and denominator of a fraction respectively, then fraction beco...
A man distributed some candies to his three sons A, B and C. A, being the eldest got two times the number of candies that C got while A and B together h...
12.5% of 96 =?
- Find the fraction which is greater than (5/7) but less than (9/7).
- The product of two decimals is 0.675. If one of the decimals is 2.5, then find the other decimal.
