Calculus Applied to Probability and Statistics
by
Stefan Waner and Steven R. Costenoble

Answers to Exercises
for
Section 1: Statements and Logical Operators

1. Continuous Random Variables and Histograms 2. Probability Density Functions: Uniform, Exponential, Normal, and Beta Calculus and Probability Main Page "Real World" Page
Return to Exercises

1. X is the number of the uppermost face; discrete.

3. X is the angle the pointer makes with the vertical; continuous with interval of values [0, 360).

5. X is the temperature at midday; continuous. There are many possible intervals of values, such as (, +), [1,000, 1000], or [150, 150] (degrees farenheit) which would be reasonable on planet earth.

7. X is the U.S. Balance of Payments, rounded to the nearest billion dollars; discrete.

9. X is the number of computer chips that fail to work in a batch of 100; discrete.

11.

13.

15.
Age
0-15
15-25
25-35
35-45
45-55
55-65
65-75
75-95
Probability
0.2077
0.1199
0.1118
0.1443
0.1317
0.1317
0.0959
0.0570

(a) 0.5077(b) 0.5837 (c) 0.4163

17. (a) 0.304(b) 0.083 (c)0.237

19.

21. A random variable assigns a number to each outcome in an experiment.

23. It is half the corresponding area. of the heights of the corresponding bars on the 1-unit width histogram.

1. Continuous Random Variables and Histograms 2. Probability Density Functions: Uniform, Exponential, Normal, and Beta Calculus and Probability Main Page "Real World" Page
Return to Exercises

We would welcome comments and suggestions for improving this resource. Mail us at:
Stefan Waner (matszw@hofstra.edu) Steven R. Costenoble (matsrc@hofstra.edu)
Last Updated: September, 1996
Copyright © 1996 StefanWaner and Steven R. Costenoble