Let X={x∈N:1≤x≤17} and Y={ax+b:x∈X and a,b∈R,a>0}. If mean and variance of elements of Y are 17 and 216 respectively then a+b is equal to:
If the mean and variance of the observations x1, x2, x3, ⋯, xn are ¯x and σ2 respectively and a be a nonzero real number, then show that the mean and variance of ax1, ax2, ax3, ⋯. axn are ¯ax and a2 σ2 respectively.
Let X be a Gaussian random variable mean 0 and variance σ2. Let Y = max(X, 0) where max (a, b) is the maximum of a and b. Th emedian of Y is