Question
In: Statistics and Probability
The number of defective items in a manufacturing process is an example of _________ data. a...
The number of defective items in a manufacturing process is an example of _________ data.
|
a |
discrete |
|
b |
continuous |
Solutions
Expert Solution
Definitions of Discrete and Continuous random variable
1)Discrete Random Variables. ... A discrete variable is a variable which can only take a countable number of values. In this example, the number of heads can only take 4 values (0, 1, 2, 3) and so the variable is discrete.
2) A continuous random variable is a random variable where the data can take infinitely many values. For example, a random variable measuring the time taken for something to be done is continuous since there are an infinite number of possible times that can be taken
Here in the given problem no of defective items in a manufacturing process,
Numbers of defective items in a manufacturing process are either finite or countable.As for any manufacturing process we have fixed value of number of defective items or we can say that for any manufacturing process contains fixed number of defective items.
So the number of defective items in a manufacturing process is an example of Discrete data/ random variable..
orchestra answered 3 years agoRelated Solutions
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of...
A manufacturing process produces 6.6% defective items. What is
the probability that in a sample of 40 items: a. 12% or more will
be defective? (Round the z-value to 2 decimal places and the final
answer to 4 decimal places.) Probability
b. less than 2% will be defective? (Round the z-value to 2
decimal places and the final answer to 4 decimal places.)
Probability
c) more than 12% or less than 2% will be defective? (Round the
z-value to 2...
A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality...
A manufacturing lot contains 40 items. It is known that 6 items
are defective. A quality assurance engineer selects a random sample
of 10 items and checks each to see if it is defective.
i. What is the mean and standard deviation of the number of
defective items that she will sample. [4]
ii. What is the probability that she observes two or fewer
defective items.
A road surface is being inspected for potholes. The number of
potholes per kilometre...
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process...
The percent defective for parts produced by a manufacturing
process is targeted at 4%. The process is monitored daily by taking
samples of sizes n = 160 units. Suppose that today’s sample
contains 14 defectives. Determine a 88% confidence interval for the
proportion defective for the process today.
Place your LOWER limit, rounded to 3 decimal places, in the
first blank. For example, 0.123 would be a legitimate answer.
Place your UPPER limit, rounded to 3 decimal places, in the...
The number of defective items produced by a machine (Y) is known to be linearly related...
The number of defective items produced by a machine (Y) is known
to be linearly related to the speed setting of the machine (X).
Data is provided below.
a) (3) Fit a linear regression function by ordinary least
squares; obtain the residuals and plot the residuals against X.
What does the residual plot suggest?
b) (3) Plot the absolute value of the residuals and the squared
residuals vs. X. Which plot has a better line?
c) (4) Perform a weighted...
The manager of an assembly process wants to determine whether or not the number of defective...
The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use α =
0.01.
Day of Week
M
Tu
W
Th
F
Nondefective
88
92
98
97
91
Defective...
The manager of an assembly process wants to determine whether or not the number of defective...
The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use α =
0.01.
Day of Week
M
Tu
W
Th
F
Nondefective
89
94
96
97
94
Defective...
Does being in control always mean that a process is producing few defective items?
Does being in control always mean that a process is producing
few defective items?
11.7. Machine speed. The number of defective items produced by a machine (Y) is known to...
11.7. Machine speed. The number of defective items produced by a
machine (Y) is known to be linearly related to the speed setting of
the machine (X). The data below were collected from recent quality
control records. #d. Estimate the variance function by regressing
the squared residuals against-X, and then calculate the estimated
weight for each case using (11.16b). #e. Using the estimated
weights, obtain the weighted least squares estimates of f30 and th.
Are the weighted least squares estimates...
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items...
A box contains 10 items, of which 3 are defective and 7 are
non-defective. Two items are randomly selected, one at a time, with
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To look up the probability of a defective item being drawn from the
box, using a binomial probability table, what would be the values
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Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective.
Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at random from each box. Find the probability that both items are non- defective. 1/21 19/42 10/13 25/42
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