Question

A manufacturer of window frames knows from long
experience that 5% of the production will have some type of minor
defect that will require adjustment. What is the probability that
in a sample of 20 window frames

None will need adjustment

At least one will need adjustment

More than two will need adjustment

Answer #1

Answer)

As there are fixed number of trials and probability of each and every trial is same and independent of each other

Here we need to use the binomial formula

P(r) = ncr*(p^r)*(1-p)^n-r

Ncr = n!/(r!*(n-r)!)

N! = N*n-1*n-2*n-3*n-4*n-5........till 1

For example 5! = 5*4*3*2*1

Special case is 0! = 1

P = probability of single trial = 0.05

N = number of trials = 20

R = desired success

A)

None = P(0) = 20c0*(0.05^0)*(1-0.05)^20 = 0.35848592241

B)

At least 1 = 1 - P(0) (as sum of all the probabilities is =1

P(at least 1) = 0.6415140776

C)

P(more than 2) = 1 - (p(0) + P(1) + P(2)) = 0.07548367379

A production manager knows that 8.5% of components
produced by a particular manufacturing
process have some defect. Eight of these components, whose
characteristics can be assumed
to be independent of each other were examined.
a. Write the distribution function in terms of ? and x.
b. What is the probability that none of these components has a
defect?
c. What is the probability that two of the components have a
defect?
d. What is the probability that between two and...

A manufacturer of halogen bulbs knows that 5% of the production
of their bulbs will be defective. Answer without decimal
places.
a)What is the probability that exactly 3 bulbs in a carton will
be defective? %
b)what is the probability that as least 2 bulbs in a carton of
20 will be defective? %
c) what is the probability that at most 2 bulbs in a carton of
20 bulbs will be defective? %

1.)A manufacturer knows that their items have a normally
distributed length, with a mean of 12.9 inches, and standard
deviation of 1.1 inches.
If one item is chosen at random, what is the probability that it is
less than 14.9 inches long?
2.)A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
deviation of 1.1 years.
If you randomly purchase one item, what is the probability it will
last longer than...

A manufacturer knows that their items have a normally
distributed length, with a mean of 20 inches, and standard
deviation of 5 inches.
If one item is chosen at random, what is the probability that it is
less than 13.7 inches long? (Give answer to 4 decimal places.)

A production manager knows that 95% of components produced by a
particular manufacturing process have no defect. Six of these
components selected randomly and examined,
What is the probability that two of these components
havedefect?
What is the probability that at least four of these components
have a defect?
What is the expected number of defective
sets?
Interpret the result of all three parts of this question.

A. A manufacturer knows that their items have a normally
distributed length, with a mean of 11.7 inches, and standard
deviation of 1.4 inches. If one item is chosen at random, what is
the probability that it is less than 9 inches long?
B. A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 8.6 years, and standard
deviation of 2.6 years. If you randomly purchase one item, what is
the probability it will last...

Part 1
A manufacturer knows that their items have a normally
distributed length, with a mean of 17.3 inches, and standard
deviation of 4.3 inches.
If one item is chosen at random, what is the probability that it is
less than 26.5 inches long?
Part 2
A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 13.2 years, and standard
deviation of 0.9 years.
If you randomly purchase one item, what is the probability it...

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
deviation of 0.7 years.
If 20 items are picked at random, 6% of the time their mean life
will be less than how many years?
Give your answer to one decimal place.

A manufacturer knows that their items have a normally
distributed length, with a mean of 17.4 inches, and standard
deviation of 2.4 inches.
If one item is chosen at random, what is the probability that
it is less than 15.7 inches long?

A manufacturer knows that their items have a normally
distributed length, with a mean of 19.3 inches, and standard
deviation of 3.8 inches.
If one item is chosen at random, what is the probability that it is
less than 27.3 inches long?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 26 minutes ago

asked 33 minutes ago

asked 34 minutes ago

asked 51 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago