question 1:

(A) The voltage in a certain circuit is a random variable (X) with mean 120 and standard deviation 5. Sensitive equipment will be damaged if the voltage is not between 110 and 130. o (a) Use Chebyshev's inequality to bound the probability of damage. o (b) Use Empirical Rule to find the probability of damage . Using Chebyshev's rule, find a and b such that P(a 8/9Let Z : X + Y Where X and Y are independent Poi( 2). Then (1) E(Z) 21',ch ='?,P(Z > 1) 2'? Let Z = X + Y where X and Y are independent Binomial with 11: 100, and p =1 / 2. Then (2) E(Z) =?,ch =?,P(45 3 Z g 55) =