Question

There are 10 mechanical machines in the workshop. The
chance of a broken device is 5%.

a. Calculate the probability that there is no broken device.

b. What is the average number of broken machines?

c.Knowing that there is at least 1 broken device, calculate the
probability that the number of broken machines is no more than
2.

Answer #1

a)

Let X denote the number of broken devices in the workshop. Then

Required probability =

b)

Let X denote the number of broken devices in the workshop. Then

So, required average =

c)

Required probability =

3. Binomial Distribution Problems.
a. Suppose 5 sales calls are made with a 10% chance of making a
sale on each call. These calls are independent of each other.
Suppose X is the number of sales made. Compute a probability
distribution of X.
b. What’s the chance of making exactly 3 sales?
c. What the chance of at least 1 sale?
d. What’s the chance of making at most 4 sales?
e. Suppose 200 sales calls are made in a...

The
service life (in hours) of an electronic device shows from
experience that the unit fails an average of 500 hours of use. A)
What is the probability that the device will operate 100 or more
hours before failing? B) If the device has already worked for at
least 300 hours, what is the probability that it will last at least
400 more?

Among a group of 25 tvs, 5 tvs are broken, and we randomly
select 8 tvs.
a) What is the probability that among the 8t vs selected at
least 2 are broken
b) Determine the standard deviation and the expected value of
the broken tvs among the 8 tvs selected

a casino game prize .2 chance of winning $10, .3 chance of
winning $5, .4 chance of winning $1 and a .1 chance of losing and
getting nothing. What is the break even value?

Question 2. A metal fabrication company has a 5-year lease for
their workshop in an industrial zone. Rent is $1,000 per month and
there are 60 payments remaining. The next rent payment will be due
in one month. The landlord who owns the workshop is planning to
sell the property in a year, and he wants the tenants to pay a
higher rent so he can sell the property at a higher price in the
future. The landlord offered the...

For flights from a particular airport in January, there is a 30
percent chance of a flight being delayed because of icy weather. If
a flight is delayed because of icy weather, there is a 10 percent
chance the flight will also be delayed because of a mechanical
problem. If a flight is not delayed because of icy weather, there
is a 5 percent chance that it will be delayed because of a
mechanical problem. If one flight is selected...

It has been found in a manufacturing factory that 2 out of 5
mechanical parts manufactured have shap edges that need to be
softened. If we assume that 400 mechanical parts have been randomly
selected, what is the probability that more than 150 of those parts
have shap edges that need to be softened.

A carnival game gives players a 10% chance of winning every
time it is played. A player plays the game 10 times. A. Let X be
the number of times the player wins in 10 plays. What is the most
probable value of X? B. what is the probability that the player
will win at least once?

Suppose a mechanical engineering company is interested in
patenting a new device that is intended to serve as the next
generation of breast cancer screening beyond mammography. A key
measurement statistic for the new device is its false positive
rate. Suppose the current false positive rate for mammography is
12% with a σ of 3%, and the company tests the device on a SRS of
245 patients that results in an average false positive rate of
6.5%.
A) Can we...

QUESTION 6
1. Let’s say in a deal of 5 cards, there is
50% chance of getting a pair of any kind. There is a 26% chance of
getting four different suits in the deal. There is a 15% chance of
getting a pair AND four different suits. What is the probability
that you have no pair?
a. 61%
b. 74%
c. 85%
d. 50%
10 points
QUESTION 7
1. Let’s say in a deal of 5 cards, there...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 9 minutes ago

asked 10 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 23 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 41 minutes ago