- 7.3.1: Estimate the median daily catch for the fishing data given in Examp...
- 7.3.2: (a) Use the cumulative distribution function in Figure 7.27 to esti...
- 7.3.3: A quantity x is distributed with density function p(x) = 0.5(2 x) f...
- 7.3.4: A quantity x has cumulative distribution function P(x) = x x2/4 for...
- 7.3.5: Find the median shelf life of a banana using p(t). Plot the median ...
- 7.3.6: Find the mean shelf life of a banana using p(t). Plot the mean on a...
- 7.3.7: Suppose that x measures the time (in hours) it takes for a student ...
- 7.3.8: Let p(t) = 0.1e0.1t be the density function for the waiting time at...
- 7.3.9: The speeds of cars on a road are approximately normally distributed...
- 7.3.10: The distribution of IQ scores can be modeled by a normal distributi...
- 7.3.11: Let P(x) be the cumulative distribution function for the household ...
Solutions for Chapter 7.3: THE MEDIAN AND THE MEAN
Full solutions for Applied Calculus | 5th Edition
Addition principle of probability.
P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
Speed of rotation, typically measured in radians or revolutions per unit time
A sequence of equal periodic payments.
The change in position divided by the change in time.
Basic logistic function
The function ƒ(x) = 1 / 1 + e-x
The probability of an event A given that an event B has already occurred
The factor Ae-a in an equation such as y = Ae-at cos bt
De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)
Direction angle of a vector
The angle that the vector makes with the positive x-axis
Equivalent systems of equations
Systems of equations that have the same solution.
See Polynomial function in x
Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
Measure of spread
A measure that tells how widely distributed data are.
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.
Polar form of a complex number
See Trigonometric form of a complex number.
Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt
The function y = sin x.
Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.
Usually the third dimension in Cartesian space.