If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are Poisson distributed, what is the probability of selling exactly 4 houses in one day? What is the probability of selling no houses in one day? What is the probabil- ity of selling more than five houses in a day? What is the probability of selling 10 or more houses in a day? What is the probability of selling exactly 4 houses in two days?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
A-6.4 customers/8 minutes
x-10 customers/8 minutes
(6.4)
101
10 64
lity
-.0528
Using the Poisson Tables
Every value of lambda determines a different Poisson distribution. Regardless of the nature
of the interval associated with a lambda, the Poisson distribution for a particular lambda is
the same. Table A.3, Appendix A, contains the Poisson distributions for selected values of
lambda. Probabilities are displayed in the table for each X value associated with a given
ambda if the probability has a nonzero value to four decimal places. Table 5.10 presents a
portion of Table A.3 that contains the probabilities of x 9 if lambda is 1.6.
If a real estate office sells 1.6 houses on an average weekday and sales of houses on
weekdays are Poisson distributed, what is the probability of selling exactly 4 houses in
one day? What is the probability of selling no houses in one day? What is the probabil-
ity of selling more than five houses in a day? What is the probability of selling 10 or
more houses in a day? What is the probability of selling exactly 4 houses in two days?
Solution
Transcribed Image Text:A-6.4 customers/8 minutes x-10 customers/8 minutes (6.4) 101 10 64 lity -.0528 Using the Poisson Tables Every value of lambda determines a different Poisson distribution. Regardless of the nature of the interval associated with a lambda, the Poisson distribution for a particular lambda is the same. Table A.3, Appendix A, contains the Poisson distributions for selected values of lambda. Probabilities are displayed in the table for each X value associated with a given ambda if the probability has a nonzero value to four decimal places. Table 5.10 presents a portion of Table A.3 that contains the probabilities of x 9 if lambda is 1.6. If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are Poisson distributed, what is the probability of selling exactly 4 houses in one day? What is the probability of selling no houses in one day? What is the probabil- ity of selling more than five houses in a day? What is the probability of selling 10 or more houses in a day? What is the probability of selling exactly 4 houses in two days? Solution
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