Mathematical Statistics / SOLUTION MANUAL for Modern Mathematical Statistics with Applications 3rd Edition by Jay L. Devore

What is the formula for moment generating function? - CORRECT ANSWER-MxT = E[e^(t)(x)) = Sum (e^(t)(k) P(X = k)) Recall P(X = k) can be represent in terms of a function that outputs the probability for when random var X = k What is E[x^r] or expectation of rth moment of x? - CORRECT ANSWER-E[x^r] = Sum(k^r * e^(t)(k) fx(k)), where k belongs to the sample space E[x^r] = rth derivative of Mx(t) What is P(A U B)? - CORRECT ANSWER-P(A U B) = P(A) + P(B) - P(A ∩ B) What is P(A ∩ B) if A and B are independent? - CORRECT ANSWER-P(A ∩ B) = P(A) * P(B) is A and B are independent 5 different ice cream flavors and 7 different toppings for selections. How many possible sundaes if we use two different flavors and from zero to 7 toppings? - CORRECT ANSWER-2C5 * 2^7 ways to pick flavors * ways to pick toppings For each topping, there are 2 possible flavors and there are 7 possible toppings.