Solutions - Homework 1
Textbook Problems
3.1-4 (b) There are n = 30 data points. We use 6 bins of equal width = 0.05 starting from
1.195 as the left endpoint of the leftmost bin.
Bin #
1
2
3
4
5
6
Bin Range frequency fi
1.195-1.245
2
1.245-1.295
7
1.295-1
Solutions - Homework 2
1.1-2
(a) O = cfw_HHHH, HHHT, HHT H, HHT T, HT HH, HT HT, HT T H, HT T T,
T HHH, T HHT, T HT H, T HT T, T T HH, T T HT, T T T H, T T T T
(b) A = cfw_at least 3 heads, B = cfw_at most 2 heads, C = cfw_heads on 3rd toss, D = cfw_1 he
Solutions - Homework 3
1.3-2
(a) P (A1 ) =
N (A1 )
N (O)
=
1041
1456
0.7150
(b) P (A1 |B1 ) =
N (A1 B1 )
N (B1 )
=
392
633
0.6193
(c) P (A1 |B2 ) =
N (A1 B2 )
N (B2 )
=
649
823
0.7886
(d) About 79% of the women surveyed favor the gun law, and about 62%
Midterm 1 - Practice Problems
1. Let X, Y be two rolls of a standard 6-sided die, and let Z = |Y X|.
a. Find the p.m.f. fZ (z) for the random variable Z.
b. Find E(Z) and Var(Z).
2. Die A is a fair 3-sided die with sides labeled 1,2,3 and Die B is a fair