Question

A roll of plastic-coated wire has an average of 0.09 flaws per
5-meter length of wire. Suppose a quality control engineer will
sample a 5-meter length of wire from a roll of wire 230 meters in
length. If no flaws are found in the sample, the engineer will
accept the entire roll of wire.

a. What is the probability that the roll will be rejected?

b. Before examining the sample, what is the probability that there
are no flaws in the 230 meters of wire? What is the probability
that there are exactly 3 flaws in the entire roll?

c. Based on your answers from parts (a) and (b), what is the
probability that if there is at least one flaw in the entire roll,
a randomly sampled 5-meter length of wire from that roll will have
at least one flaw? [Hint: It may be helpful to recognize that if
the roll has no flaws, the 5-meter length of wire will have no
flaws.]

d. Given that no flaws were found in the sample, what is the
probability that the entire roll has no flaws? Is sampling 5 meters
of wire sufficient for determining if the entire roll has flaws?
Why or why not?

Answer #1

The number of surface flaws in a plastic roll used in the
interior of automobiles has a Poisson distribution with a mean of
0.09 flaw per square foot of plastic roll. Assume an automobile
interior contains 12 square feet of plastic roll. Round your
answers to four decimal places (e.g. 98.7654).
(a) What is the probability that there are no
surface flaws in an auto’s interior?
(b) If 17 cars are sold to a rental company, what
is the probability...

The number of surface flaws in a plastic roll used in the
interior of automobiles has a Poisson distribution with a mean of
0.09 flaw per square foot of plastic roll. Assume an automobile
interior contains 8 square feet of plastic roll. Round your answers
to four decimal places (e.g. 98.7654). (a) What is the probability
that there are no surface flaws in an auto’s interior? (b) If 15
cars are sold to a rental company, what is the probability...

The number of surface flaws in a plastic roll used in the
interior of automobiles has a Poisson distribution with a mean of
0.09 flaw per square foot of plastic roll. Assume an automobile
interior contains 8 square feet of plastic roll. Round your answers
to four decimal places (e.g. 98.7654).
(a) What is the probability that there are no
surface flaws in an auto’s interior?
(b) If 20 cars are sold to a rental company, what
is the probability...

Suppose that magnetic tape made by a certain factory has an
average of 1 flaw per 60 meters of tape. If the distribution of
these flaws is modeled by a Poisson process, find (a) the
probability that a 100m section of tape will have at most 1 flaw.
(b) the probability that a 75 meter section will have 3 or more
flaws. (c) the maximum length of a section for which the
probability that it will contain no flaws is...

2. In the month of April the average number of tornadoes per
week in Oklahoma has historically been 3.5.
(a) What is the probabilty there are at least 3 tornadoes in a
random week (in April)?
(b) What is the expected number of tornadoes in the entire
month? You can pretend that there are exactly four weeks in April.
What is the variance?
(c) What is the probability that it takes 3 days before a
tornado occurs?
(d) What is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 29 minutes ago

asked 38 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago