- 8.5.1: Let be the probability density function for the lifetime of a manuf...
- 8.5.2: Let be the probability density function for the time it takes you t...
- 8.5.3: Let for and for all other values of . (a) Verify that is a probabil...
- 8.5.4: Let if and if or . (a) For what value of is a probability density f...
- 8.5.5: A spinner from a board game randomly indicates a real number betwee...
- 8.5.6: (a) Explain why the function whose graph is shown is a probability ...
- 8.5.7: Show that the median waiting time for a phone call to the company d...
- 8.5.8: (a) A type of lightbulb is labeled as having an average lifetime of...
- 8.5.9: The manager of a fast-food restaurant determines that the average t...
- 8.5.10: According to the National Health Survey, the heights of adult males...
- 8.5.11: The Garbage Project at the University of Arizona reports that the a...
- 8.5.12: Boxes are labeled as containing 500 g of cereal. The machine fillin...
- 8.5.13: For any normal distribution, find the probability that the random v...
- 8.5.14: The standard deviation for a random variable with probability densi...
- 8.5.15: The hydrogen atom is composed of one proton in the nucleus and one ...
Solutions for Chapter 8.5: Probability
Full solutions for Calculus, | 5th Edition
Absolute value of a vector
See Magnitude of a vector.
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots
Annual percentage rate (APR)
The annual interest rate
The farthest point from the Sun in a planet’s orbit
A logarithm with base 10.
Components of a vector
See Component form of a vector.
Interest that becomes part of the investment
Variable representing the range value of a function (usually y)
Frequency (in statistics)
The number of individuals or observations with a certain characteristic.
An equation that is always true throughout its domain.
Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
The diagonal from the top left to the bottom right of a square matrix
Matrix, m x n
A rectangular array of m rows and n columns of real numbers
Measure of spread
A measure that tells how widely distributed data are.
See Circle graph.
A procedure for fitting a curve y = a . x b to a set of data.
Product of functions
(ƒg)(x) = ƒ(x)g(x)
A matrix whose number of rows equals the number of columns.
Vector of length 1.
Vertex of an angle