Homework Answers for Chapter 5: Exercises 2, 6, 8, 10, 12, 14, 16, 18, 19, 20
2. Mean = 5.4 Variance = 12.04 found by:
4. a. Discrete
b. Continuous
c. Discrete
d. Continuous
e. Discrete
f. Continuous
6.
s = 157.8
8. a. Number, x Frequency Probability
1 120 0.40
2 90 0.30
3 60 0.20
4 30 0.10
300 1.00
b. m = 1(0.40) + 2(0.30) + 3(0.20) + 4(0.10) = 2.00
c.
10.
a.
b.
12. a. x P(x), given n=5; p=0.3
0 0.168
1 0.360
2 0.309
3 0.132
4 0.028
5 0.002
b.
14.
a.
0.7351, found by
b.
0.2321, found by
c. m = 5.7, found by 6(.95)
d.
16.
a.
0.2311, found by
b.
0.0138, found by
c.
0.1678, found by
d. 3.6, found by 12(0.3)
e.
2.52, found by 12(0.3)(0.7)
18. a. 0.101, found from Appendix A, n = 12, x = 5, p = 0.60
b.
{0.1582 using the more precise blue table}
c.
19.
a.
0.387, found from Appendix A with n
= 9, p
= 0.90, and an x = 9
{0.3874 using the more precise blue table}
b. P(x < 5) = 0.0009 using the more precise blue table
c. 0.9917, found by 1 – 0.0083 using the more precise blue table
d. 0.9470, found by 1 – 0.0530
20. a. 0.3585, found from blue table with n = 20, p = 0.05, and an x = 0
b. 0.6415, found by 1 – 0.3585
c.
0.076, found by 1 – [0.358 + 0.377 + 0.189] using Appendix A
.0755, found by P(X > 2) = 1 - P(X £
2) = 1 - 0.9245