Question
1.A balanced 6-faced die is rolled twice. Let the random variables X and Y represent the number of dots turning up in the first and
1.A balanced 6-faced die is rolled twice. Let the random variables X and Y represent the number of dots turning up in the first and second roll, respectively. Further, assume that the outcomes of the two rolls are independent.
a. (3 pts) What is the range of Z = X+Y? b. (3 pts) Find the Probability Mass Function PMF of Z = X+Y. c. (2 pts) Find E(X+Y). d. (3 pts) Find V(X+Y).
2. A balanced two faced coin is tossed n times. Let X be the number of heads and Y be the number of tails that turn up. Find:
a. (3 pts) Find E(X-Y) b. (3 pts) Find V(X-Y).
3. A coin is tossed repeatedly until a head appears. Let X equals the number of tosses until this event occurs. The PMF of X is:
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Numerical Analysis
Authors: Richard L. Burden, J. Douglas Faires
9th edition
538733519, 978-1133169338, 1133169333, 978-0538733519
