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Unformatted text preview: NameSurname: Student ID: MIDDLE EAST TECHNICAL UNIVERSITY – NORTHERN CYPRUS
CAMPUS
SPRING 2011
BUS 152 Statistics for Social Sciences
Quiz 2 – Section 2
Questions and Solutions
1. An internal study by the information technologies department of a company
revealed that the company employees receive an average of 2 emails per hour.
Assuming that the arrival of emails is approximated by the Poisson distribution,
answer the following questions:
a. What is the probability that a company employee will receive exactly one email between 4 P.M. and 5 P.M. tomorrow?
b. What is the probability that a company employee will receive exactly two emails between 1 P.M. and 3 P.M. tomorrow?
c. What is the probability that a company employee will receive at most one email between 4 P.M. and 5 P.M. tomorrow?
d. What is the probability that a company employee will receive at least one email between 4 P.M. and 5 P.M. tomorrow?
Let X be the number of emails received
a. (
) , Between 4 P.M. and 5 P.M.
average number of emails received per hour
( b. 1 hour. ) (
) , Between 1 P.M. and 3 P.M.
average number of emails received per twohour
(
( c.
( )
)
)
( ) ,
( ( 2 hours.
( )( ) ) ( ) ( ) ,
) (
1 ) 2. A recent study in USA indicated that a typical family of four spends $490 per
month on food. Assuming that the distribution of food expenditures for a family of
four follows the normal distribution with a mean of $490 and a standard deviation of
$80, answer the following questions:
a. What is the probability that a family of four spends less than $370 per month
on food?
b. What is the probability that a family of four spends more than $540 per month
on food?
c. What is the probability that a family of four spends between $650 and $500
per month on food?
d. The food expenditures for a family of four are less than how many dollars with
97% probability?
and
Let X be the food expenditures (in dollars) for a family of four. b. ( ) ( a. ) ( ) ( ( c. ) ( from Table E.2, p.812 ( ) ( ) ) ( )
( d. ) ( (
) )
( ) )
( ) ( ) 0.97 corresponds to Z = 1.88 (from Table E.2, p.813)
( )( ) 2 ( ) ...
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This note was uploaded on 12/22/2011 for the course BUSINESS bus 152 taught by Professor Çeşmecibaşı during the Spring '11 term at Middle East Technical University.
 Spring '11
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