Name: _ _MATH 371: Elementary Probability Theory
HW 6 (due
July 13, 2015) page 111 #3.36, 3.38, 3.43, 3.53
3.36
a A meteorologist in Denver recorded Y =the number of days of rain during a 30-day
period. Does Y have a binomial distribution? If so, are the
Name: _
Summer2015
MATH 371: Elementary Probability Theory
1. Of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O, 1 in
3 have A+, and 1 in 16 have A. The name of one person who previously has donated
blood is selected from
Name: _
Summer2015
Quiz 5
MATH 371: Elementary Probability Theory
Used photocopy machines are returned to the supplier, cleaned, and then sent back out on
lease agreements. Major repairs are not made, however, and as a result, some customers
receive malfu
Name: _
Summer2015
Quiz 6
MATH 371: Elementary Probability Theory
1. A starter motor used in a space vehicle has a high rate of reliability and was
reputed to start on any given occasion with probability .99999. Let Y =the number
of failures in 10,000 sta
Name: _
Summer2015
Quiz 2
MATH 371: Elementary Probability Theory
1. Two cards are drawn from an ordinary deck of 52 cards. What is the probability that
the draw will yield an ace and a face card?
4 12
1 1 4 12 0.0362
1326
52
2
2. If A and B are
Name: _
Summer2015
Quiz 3
MATH 371: Elementary Probability Theory
1. An electronic fuse is produced by five production lines in a manufacturing operation.
The fuses are costly, are quite reliable, and are shipped to suppliers in 100-unit lots.
Because tes
Name: _
Summer2015
Quiz 7
MATH 371: Elementary Probability Theory
1. The number of imperfections in the weave of a certain textile has a Poisson
distribution with a mean of 4 per square yard. Find the probability that a
a) 1-square-yard sample will contai
Name: _
Summer2015
Quiz 9
MATH 371: Elementary Probability Theory
The length of time required by students to complete a one-hour exam is a random
2
cy y 0 y 1
variable with a density function given by f (y )
elsewhere
0
a Find c.
1
f (y )dy
0
1
1 cy y
Name: _
Summer2015
Quiz 10
MATH 371: Elementary Probability Theory
Scores on an examination are assumed to be normally distributed with mean 78 and
variance 36.
a What is the probability that a person taking the examination scores higher than 72?
Let Y =
Name: _
Summer2015
Quiz 4
MATH 371: Elementary Probability Theory
The telephone lines serving an airline reservation office are all busy about 60% of the
time.
a If you are calling this office, what is the probability that you will complete your call on
t
Name: _ MATH 371: Elementary Probability Theory
HW13 due 08/05/2015
page 198 Section 4.7 #4.124, 4.125, 4.129
4.124 The percentage of impurities per batch in a chemical product is a random variable Y with
density function
2
12y (1 y ) 0 y 1
f (y )
elsewh
Name: _ _MATH 371: Elementary Probability Theory
HW 2 due June 19, 2015
page 48 #36, 38, 40, 42, 50
2.36 An assembly operation in a manufacturing plant requires three steps that can be
performed in any sequence. How many different ways can the assembly be
Name: _ _MATH 371: Elementary Probability Theory
HW 5 (due
July 1, 2015) page 90 #6
page 99 #3.22, 3.30
3.6 Five balls, numbered 1, 2, 3, 4, and 5, are placed in an urn. Two balls are randomly
selected from the five, and their numbers noted. Find the prob
Name: _ MATH 371: Elementary Probability Theory
HW8 due 07/17/2015 page 124 # 3.96, 3.97
page 129 #3.105, 3.108, 3.110
3.96 The telephone lines serving an airline reservation office are all busy about 60% of the
time.
a If you are calling this office, wha
Name: _ MATH 371: Elementary Probability Theory
HW9 due 07/20/2015 page 136 # 3.122, 3.128
3.122 Customers arrive at a checkout counter in a department store according to a Poisson
distribution at an average of seven per hour. During a given hour, what ar
Name: _ MATH 371: Elementary Probability Theory
HW10 due 07/22/2015 page 166 # 4.8, 4.10
4.8 Suppose that Y has density function
ky (1 y ) 0 y 1
f (y )
elsewhere
0
a Find the value of k that makes f (y) a probability density function.
The constant k = 6
Name: _ _MATH 371: Elementary Probability Theory
HW 2 due June 12, 2015
page 26 #6b, 8
2. 6 Suppose two dice are tossed and the numbers on the upper faces are observed. Let
S denote the set of all possible pairs that can be observed. The sample space is
(
Name: _ MATH 371: Elementary Probability Theory
HW11 due 07/27/2015 page
176 #4.44, 4.48,
4.44 The change in depth of a river from one day to the next, measured (in feet) at a specific
location, is a random variable Y with the following density function:
Name: _ MATH 371: Elementary Probability Theory
HW12 due 07/31/2015 page
190 #4.88, 4.90, 4.92
4.88 The magnitude of earthquakes recorded in a region of North America can be modeled as
having an exponential distribution with mean 2.4, as measured on the R
Name: _ _MATH 371: Elementary Probability Theory
HW4 page 73 #2.124, 2.125, 2.130 ,
2.131 due June 29, 2015
2.124 A population of voters contains 40% Republicans and 60% Democrats. It is
reported that 30% of the Republicans and 70% of the Democrats favor