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.
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