Upload
nguyencong
View
232
Download
1
Embed Size (px)
Citation preview
Slide 5-1Copyright © 2012 Pearson Education, Inc.
Slide 5-2Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Chapter 5
Discrete Random Variables
Slide 5-3Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Section 5.1
Discrete Random Variables and Probability Distributions
Slide 5-4Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Definitions 5.1 & 5.2
Random Variable
A random variable is a quantitative variable whose value
depends on chance.
Discrete Random Variable
A discrete random variable is a random variable whose
possible values can be listed.
Slide 5-5Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Definition 5.3
Probability Distribution and Probability Histogram
Probability distribution: A listing of the possible values
and corresponding probabilities of a discrete random
variable, or a formula for the probabilities.
Probability histogram: A graph of the probability
distribution that displays the possible values of a discrete
random variable on the horizontal axis and the
probabilities of those values on the vertical axis. The
probability of each value is represented by a vertical bar
whose height equals the probability.
Slide 5-6Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Table 5.2 & Figure 5.1
Probability distribution of the
random variable X, the number
of siblings of a randomly
selected student
Probability histogram for
the random variable X, the
number of siblings of a
randomly selected student
Slide 5-7Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Figure 5.2(a) Histogram of proportions for the numbers of heads obtained in three tosses of
a balanced dime for 1000 observations; (b) probability histogram for the number
of heads obtained in three tosses of a balanced dime
Slide 5-8Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Section 5.2
The Mean and Standard Deviation
of a Discrete Random Variable
Slide 5-9Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Definition 5.4
Slide 5-10Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Key Fact 5.3
Slide 5-11Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Figure 5.3Graphs showing the average number of busy tellers
versus the number of observations for two simulations of
100 observations each
Slide 5-12Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Section 5.3
The Binomial Distribution
Slide 5-13Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Definition 5.8
Slide 5-14Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Table 5.14Outcomes and probabilities for observing whether each
of three people is alive at age 65
Slide 5-15Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Figure 5.4Tree diagram corresponding to Table 5.14
Slide 5-16Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Procedure 5.1
Slide 5-17Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Figure 5.6Probability histograms for three different binomial
distributions with parameter n = 6
Slide 5-18Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Formula 5.2
Slide 5-19Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Section 5.4
The Poisson Distribution
Slide 5-20Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Formula 5.3
Slide 5-21Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Table 5.16Partial probability distribution of the random variable X, the number of patients
arriving at the emergency room between 6:00 P.M. and 7:00 P.M.
Insert Table 5.16 from page 242 in Chapter 5.
Slide 5-22Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Figure 5.7Partial probability histogram for the random variable X, the number of patients
arriving at the emergency room between 6:00 P.M. and 7:00 P.M.
Slide 5-23Copyright © 2012, 2008, 2005 Pearson Education, Inc.
Procedure 5.2