Question

Motorola used the normal distribution to determine the
probability of defects and the number of defects expected in a
production process. Assume a production process produces items with
a mean weight of 10 ounces.

- The process standard deviation is 0.1, and the process control
is set at plus or minus 2 standard deviations. Units with weights
less than 9.8 or greater than 10.2 ounces will be classified as
defects. What is the probability of a defect (to 4 decimals)?

In a production run of 1000 parts, how many defects would be found (to 0 decimals)?

- Through process design improvements, the process standard
deviation can be reduced to 0.08. Assume the process control
remains the same, with weights less than 9.8 or greater than 10.2
ounces being classified as defects. What is the probability of a
defect (rounded to 4 decimals; getting the exact answer, although
not necessary, will require Excel)?

In a production run of 1000 parts, how many defects would be found (to 0 decimals)?

- What is the advantage of reducing process variation?

Answer #1

Motorola used the normal distribution to determine the
probability of defects and the number of defects expected in a
production process. Assume a production process produces items with
a mean weight of 6 ounces.
a. The process standard deviation is 0.20
ounces, and the process control is set at plus or minus 0.75
standard deviations. Units with weights less than 5.85 or greater
than 6.15 ounces will be classified as defects. What is the
probability of a defect (to 4...

Motorola used the
normal distribution to determine the probability of defects and the
number of defects expected in a production process. Assume a
production process produces items with a mean weight of 7
ounces.
a.
The process standard deviation is 0.15, and the process control is
set at plus or minus 1.6 standard deviation s. Units with weights
less than 6.76 or greater than 7.24 ounces will be classified as
defects. What is the probability of a defect (to 4...

Motorola used the normal distribution to determine the
probability of defects and the number of defects expected in a
production process. Assume a production process produces items with
a mean weight of 14 ounces. Use Table 1 in Appendix B. The process
standard deviation is 0.15, and the process control is set at plus
or minus 1 standard deviation. Units with weights less than 13.85
or greater than 14.15 ounces will be classified as defects. What is
the probability of...

otorola used the normal distribution to determine the
probability of defects and the number of defects expected in a
production process. Assume a production process produces items with
a mean weight of ounces. a. The process standard deviation is , and
the process control is set at plus or minus standard deviation .
Units with weights less than or greater than ounces will be
classified as defects. What is the probability of a defect (to 4
decimals)? In a production...

Motorola used the normal distribution to determine the
probability of defects and the number of defects expected in a
production process. Assume a production process produces items with
a mean weight of 10 ounces.
a) The process standard deviation is 0.1, and the process
control is set at plus or minus one standard deviation. Units with
weights less than 9.9 or greater than 10.1 ounceswill be classified
as defects. (Round your answer to the nearest integer.)
Calculate the probability of...

Suppose that Motorola uses the normal distribution to determine
the probability of defects and the number of defects in a
particular production process. Assume that the production process
manufactures items with a mean weight of 10 ounces. Calculate the
probability of a defect and the suspected number of defects for a
1,000-unit production run in the following situations. (a)
a) The process standard deviation is 0.18, and the process
control is set at plus or minus one standard deviation. Units...

Note: You need to show your work. If you choose to use Excel for
your calculations, be sure to upload your well-documented Excel and
to make note in this file of what Excel functions you used and when
you used them, and how you arrived at your answers. If you choose
to do the work by hand, Microsoft Word has an equation editor. Go
to “Insert” and “Equation” on newer versions of Word. On older
versions, go to “Insert” and...

Use the probability distribution to complete parts (a) and (b)
below. The number of defects per 1000 machine parts inspected
Defects 0 1 2 3 4 5 Probability 0.265 0.294 0.243 0.140 0.046 0.012
(a) Find the mean, variance, and standard deviation of the
probability distribution. The mean is ?. (Round to one decimal
place as needed.)

a) The defect rate for a wire making process has a
Poisson distribution with 1.23 defects per 1000 feet. Let X be the
number of defects widgets in a randomly-selected 1000-foot length
of wire. What is the probability that there will be no defects in
that length of wire? State your answer rounded to three decimal
digits.
b) Let X be the net weight of a randomly-selected cereal box.
The distribution of net weight for this filling process is
uniformly-distributed between...

1. A continuous random variable is normally distributed. The
probability that a value in the distribution is greater than 47 is
0.4004. Find the probability that a value in the distribution is
less than 47.
2. A continuous random variable is normally distributed. The
probability that a value in the distribution is less than 125 is
0.5569. Find the probability that a value in the distribution is
greater than 125.
3. A random variable is normally distributed with mean 89.7...

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