Question
In: Statistics and Probability
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random.
a) Find the probability that there are at most 2 defective components in the box.
b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
Solutions
Expert Solution
a.
b.
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A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The
components are packed in boxes of 10. A box is selected by
random.
a) Find the probability that there are at most 2 defective
components in the box.
b) Use a suitable approximation to find the probability of
having at most 3 defective (inclusive 3 cases) components out of
250.
QUESTION 5 A factory produces pins of which 1.5% are defective. The components are packed in...
QUESTION 5 A factory produces pins of which 1.5% are defective.
The components are packed in boxes of 12. A box is selected at
random.
(1) n = 12
(2) p = 0.0150 (Round to four decimal places)
(3) q = (Round to four decimal places)
Find the following probabilities (Round ALL answers to four
decimal places):
4) The box contains exactly 6 defective pins
5) The box contains at least one defective pins
6) The box contains no more...
1) It is known that 10% of the calculators shipped from a particular factory are defective....
1) It is known that 10% of the calculators shipped from a
particular factory are defective. What is the probability that
exactly three of five chosen calculators are defective?
A) 0.00729
B) 0.0081
C) 0.081
D) 0.03
2)For a particular clothing store, a marketing firm finds that
16% of $10-off coupons delivered by mail are redeemed. Suppose six
customers are randomly selected and are mailed $10-off coupons.
What is the expected number of coupons that will be redeemed?
A) 0.81...
The cost of reworking defective components is an example of:
The cost of reworking defective components is an example of: appraisal costs. prevention costs. internal failure costs. external failure costs.
In a shipment of 15 components of a particular computer model, 5 components are defective. For...
In a shipment of 15 components of a particular computer model, 5
components are defective.
For exercises 1 & 2, let X be the number of defective
components discovered when 4 of them are randomly selected for
inspection.
1. Define the probability mass function of X.
2. What is the probability that at least 2 defective components
are discovered during the inspection?
Fries weighing 480g and a standard deviation of 20g are packed in a factory. A complaint...
Fries weighing 480g and a standard deviation of 20g are packed
in a factory. A complaint suggests that the bags of these fries
weigh less than 480g, so we took a sample of 100 bags that turned
out to have an average of 477g. Test the null hypothesis H0> =
480 against the alternating HA <480 with a significance level α
= 0.1. Calculate Zc and Z. It fails to reject the null
hypothesis?
Suppose that an electric car contains six similar components two of which are defective. Three of...
Suppose that an electric car contains six similar components two
of which are defective. Three of these components are selected at
random, removed from the car, and inspected. Let Y equal the number
of defectives observed, where Y = 0, 1 ,or 2. Determine the pmf of
Y and graph its CD
a. Suppose that 5 % of the items produced by a factory are defective. If 5...
a. Suppose that 5 % of the items produced by a
factory are defective. If 5 items are chosen at random, what is the
probability that none of the items are defective? Write your answer
as a decimal accurate to three decimal places.
b. Suppose that 7.9 % of the items produced by a second factory
are defective. If 5 items are chosen at random from the second
factory, what is the probability that exactly one of the items is...
1. A factory manufactures machines. Each machine is defective with probability 1/100, independently. The machines get...
1. A factory manufactures machines. Each machine is defective
with probability 1/100, independently.
The machines get numbered 1, 2, . . . as they’re produced
(a) Out of machines 1, . . . , 1000, what is the probability that
none are defective?
(b) Out of machines 1, . . . , 1000, what is the probability that
two or fewer are defective? (c) Out of machines 1, . . . , 1000,
what is the probability that exactly ten...
A television factory knows that 2% of their televisions are defective. In a batch of 100...
A television factory knows that 2% of their
televisions are defective. In a batch of 100 new televisions, 4 of
them are inspected at random. What is the probability that 1 of
them will be defective? What is the probability that they all turn
out to be defective?
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