Incomes are exponentially distributed with 2-0.0001. What fraction of the population has income (a) <$8000? (b) >$12,000? (c) between $9000 and $12,000? 11. The number

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
Qn10 - 12
have less than 100 customers? (b) More than 320? (c) What number of customers
ard deviation o=110. (a) What fraction of days will
will be exceeded 10% of the time?
10. Incomes are exponentially distributed with = 0.0001. What fraction of the
population has income (a) <$8000? (b) >$12,000? (c) between $9000 and
$12,000?
11. The number of consumers purchasing a particular item on a given day is found to
be uniform over the range (16 28). (a) What is the mean daily number of
Transcribed Image Text:have less than 100 customers? (b) More than 320? (c) What number of customers ard deviation o=110. (a) What fraction of days will will be exceeded 10% of the time? 10. Incomes are exponentially distributed with = 0.0001. What fraction of the population has income (a) <$8000? (b) >$12,000? (c) between $9000 and $12,000? 11. The number of consumers purchasing a particular item on a given day is found to be uniform over the range (16 28). (a) What is the mean daily number of
CONTINUOUS PROBABILITY DISTRIBUTIONS AND PROBABILITY MODELS
consumers purchasing the item? (b) What percentage of the time will there be
more than 25 purchases? (c) Less than 187
12. Suppose that annual precipitation is normally distributed, with mean 50 inches,
and standard deviation 12 inches. Find the 65th percentile of the precipitation
distribution.
13. a) Express the median of the exponential distribution in terms of its parameter 1
OL
125
Transcribed Image Text:CONTINUOUS PROBABILITY DISTRIBUTIONS AND PROBABILITY MODELS consumers purchasing the item? (b) What percentage of the time will there be more than 25 purchases? (c) Less than 187 12. Suppose that annual precipitation is normally distributed, with mean 50 inches, and standard deviation 12 inches. Find the 65th percentile of the precipitation distribution. 13. a) Express the median of the exponential distribution in terms of its parameter 1 OL 125
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(a)

 

Obtain the fraction of the population has income less than $8000.

The fraction of the population has income less than $8000 is obtained below as follows:

Let X be the incomes which follows exponential distribution with the mean of 0.0001.

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