Question

Many companies use a quality control technique called acceptance
sampling to monitor incoming shipments of parts raw materials and
so on. In the electronics industry, component parts are commonly
shipped from suppliers in large lots. Inspection of a sample
*n* components can be viewed as the n trials of a binomial
the experiment. That outcome for each component test (trail) will
be that the component is classified as good or defective. Reynolds
Electronics accepts a lot from a particular supplier if the
defective components in the lot do not exceed 1%, Suppose a random
sample of five items from a recent shipment.

- Assume tat 1% of the shipment is defective. Compute the probability that no items in the sample are defective
- Assume that 1% of the shipment is defective. Compute the probability that exactly on item in the sample is defective.
- What is the probability of the observing on or more defective items in the sample if 1% of the shipment is defective?
- Would you feel comfortable accepting the shipment if one item was found to be defective? Why or why not?

Answer #1

a) Assuming that 1% of the shipment is defective, the
probability that none of the five items in the sample are defective
is computed here as:

= (1 - 0.01)^{5} = 0.9510

**Therefore 0.9510 is the required probability
here.**

b) Probability that exactly one in the sample is defective is
computed here as:

= 5*0.01*(1 - 0.01)^{4} = 0.0480

**Therefore 0.0480 is the required probability
here.**

c) Given that 1% of the sample is defective, probability that
one or more is defective is computed here as:

= 1 - Probability that none of the items are defective

= 1 - 0.9510

= 0.0490

**Therefore 0.0490 is the required probability
here.**

d) The probability of 1 or more item being defective is 0.0490
< 0.05, therefore it is an unusual event given that 1% of the
shipment is defective. **Therefore if one or more item are
defective, then we wont accept the the shipment.**

Many companies use a quality control technique called acceptance
sampling to monitor incoming shipments of parts, raw materials, and
so on. In the electronics industry, component parts are commonly
shipped from suppliers in large lots. Inspection of a sample of 40
components can be viewed as the 40 trials of a binomial experiment.
The outcome for each component tested (trial) will be that the
component is classified as good or defective. Reynolds Electronics
accepts a lot from a particular supplier...

Many companies use a quality control technique called acceptance
sampling to monitor incoming shipments of parts, raw materials, and
so on. In the electronics industry, component parts are commonly
shipped from suppliers in large lots. Inspection of a sample of 40
components can be viewed as the 40 trials of a binomial experiment.
The outcome for each component tested (trial) will be that the
component is classified as good or defective. Reynolds Electronics
accepts a lot from a particular supplier...

In quality control technique, acceptance sampling is used to
monitor incoming shipment of parts, raw materials, and so on. In
the electronic industry, components parts are commonly shipped from
suppliers in large lots. Reynolds Electronics accepts a lot from a
particular supplier if the defective components in the lot do not
exceed 2%. Suppose a random of 5 items from a recent shipment is
tested.
1. What is the appropriate distribution that can be used here?
Explain why.
2. What...

In quality control technique, acceptance sampling is used to
monitor incoming shipment of parts,
raw materials, and so on. In the electronic industry, components
parts are commonly shipped from
suppliers in large lots. Reynolds Electronics accepts a lot from a
particular supplier if the defective
components in the lot do not exceed 2%. Suppose a random of 5 items
from a recent shipment is
tested.
1. What is the appropriate distribution that can be used here?
Explain why.
2. What...

In quality control technique, acceptance sampling is used to
monitor incoming shipment of parts, raw materials, and so on. In
the electronic industry, components parts are commonly shipped from
suppliers in large lots. Reynolds Electronics accepts a lot from a
particular supplier if the defective components in the lot do not
exceed 2%. Suppose a random of 5 items from a recent shipment is
tested.
1. What is the appropriate distribution that can be used here?
Explain why.
2. What...

As the quality engineer, you monitor supplier shipments for
quality before accepting the shipment. Historically, this supplier
has produced about one defective item out of 60. When a new
shipment comes, you take a sample of size 5 items from the
shipment, and if there is more than one defective item, you reject
the shipment.
What is the probability of accepting a
shipment?
Your answer can be rounded to three decimal digit accuracy when
entered.
Probability is
=

2. Nova Ceramics manufacture specialty ceramic parts for
non-metallic applications. Parts must be precision drilled such
that when assembled with other parts they are a perfect fit.
Inspecting parts is time consuming so the practice is for customers
to inspect a sample of items from a shipment and if no more than 1
item is defective, the shipment is accepted.
a) Suppose that the on average 0.1% of units are defective. The
customer makes the decision on acceptance based upon...

The positive square root of variance is called:
Select one:
A. z-score
B. mean
C. Standard Deviation
D. dispersion
QUESTION 12
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Question text
A cell phone company found that 75% of all customers want text
messaging on their phones, 80% want photo capability, and 65% want
both. What is the probability that a customer will want at least
one of them?
Select one:
A. 0.90
B. 0.81
C. 0.87
D. 0.60...

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