Probability & Statistics for Engineers & Scientists
MATH 403

Spring 2014
Math 403  HW 1: Solutions to Selected Even Problems
1/30/2014 Dr. Michael Lamar
2.2) S = cfw_(x, y )0 < x < 3, 0 < y < 9 x2 or S = cfw_(x, y )x, y R+ , x2 + y 2 < 9
2.10) a. S = cfw_F F F, F F N, F N F, N F F, F N N, N F N, N N F, N N N
b. B = cfw_F
Probability & Statistics for Engineers & Scientists
MATH 403

Spring 2014
Math 403  HW 2: Solutions
2/10/2014 Dr. Michael Lamar
3.4) cfw_HHH, T HHH, HT HHH, HHT HHH, HT T HHH, T T T HHH, T HT HHH .
Discrete because the random variable is taking on only integer values.
x
000 dx
10,000
3.6) F (x) = 0 20,+100)3 = 1 (x+100)2
(x
1
Probability & Statistics for Engineers & Scientists
MATH 403

Spring 2014
Math 403  HW 3: Solutions
2/20/2014 Dr. Michael Lamar
4.2) E (X ) = 0.27. You could certainly nd the 4 probabilities and multiply each by its
appropriate value of x and sum. However, as we learned in chapter 5, this is a binomial
distribution with n = 3