PROBABILITY AND STATISTICS FOR
ENGINEERING AND THE SCIENCES 9TH
EDITION BY JAY DEVORE FINAL PAPER FULL
SOLUTION STUDY GUIDE
◉ hw:5 q:2
The time, in minutes, it takes to reboot a certain system is a
continuous variable with the density
f(x) = C(10-x)^2 if 0<x<100
f(x) = 0 otherwise
(a) Compute C.
(b) Compute the probability that it takes between 1 and 2 minutes to
reboot.
Answer:
◉ hw:5 q:3
A program is divided into 3 blocks that are being compiled on 3
parallel computers. Each block takes an Exponential amount of time,
5 minutes on the average, independently of other blocks. The
program is completed when all the blocks are compiled. Compute
the expected time it takes the program to be compiled.
, Answer:
◉ hw:5 q:4
The time it takes a printer to print a job is an Exponential random
variable with the expectation of 12 seconds. You send a job to the
printer at 10:00 am, and it appears to be third in line. What is the
probability that your job will be ready before 10:01?
Answer:
◉ hw:5 q:5
For some electronic component, the time until failure has Gamma
distribution with parameters α = 2 and λ = 2 (years−1). Compute the
probability that the component fails within the first 6 months.
Answer:
◉ hw:5 q:6
Consider a satellite whose work is based on a certain block A. This
block has an independent backup B. The satellite performs its task
until both A and B fail. The lifetimes of A and B are exponentially
distributed with the mean lifetime of 10 years.
(a) What is the probability that the satellite will work for more than
10 years?
(b) Compute the expected lifetime of the satellite.
Answer:
ENGINEERING AND THE SCIENCES 9TH
EDITION BY JAY DEVORE FINAL PAPER FULL
SOLUTION STUDY GUIDE
◉ hw:5 q:2
The time, in minutes, it takes to reboot a certain system is a
continuous variable with the density
f(x) = C(10-x)^2 if 0<x<100
f(x) = 0 otherwise
(a) Compute C.
(b) Compute the probability that it takes between 1 and 2 minutes to
reboot.
Answer:
◉ hw:5 q:3
A program is divided into 3 blocks that are being compiled on 3
parallel computers. Each block takes an Exponential amount of time,
5 minutes on the average, independently of other blocks. The
program is completed when all the blocks are compiled. Compute
the expected time it takes the program to be compiled.
, Answer:
◉ hw:5 q:4
The time it takes a printer to print a job is an Exponential random
variable with the expectation of 12 seconds. You send a job to the
printer at 10:00 am, and it appears to be third in line. What is the
probability that your job will be ready before 10:01?
Answer:
◉ hw:5 q:5
For some electronic component, the time until failure has Gamma
distribution with parameters α = 2 and λ = 2 (years−1). Compute the
probability that the component fails within the first 6 months.
Answer:
◉ hw:5 q:6
Consider a satellite whose work is based on a certain block A. This
block has an independent backup B. The satellite performs its task
until both A and B fail. The lifetimes of A and B are exponentially
distributed with the mean lifetime of 10 years.
(a) What is the probability that the satellite will work for more than
10 years?
(b) Compute the expected lifetime of the satellite.
Answer:
