Question

Andrew is a quality control inspector at a clothing factory. At the end of each day, he checks the number of imperfections found in cotton sweaters. The table below represents the probability density function for the random variable X, the number of imperfections found in cotton sweaters per day. Find the standard deviation of X.

- Round the final answer to two decimal places.

x |
P(X = x) |

0 |
1/6 |

1 |
1/6 |

4 |
1/3 |

7 |
1/3 |

Answer #1

In a factory, computer hard drives are collected in boxes
containing 40 hard drives each. A box has 6 defective hard drives,
and 34 hard drives which are not defective. A quality control
inspector randomly selects 3 hard drives in that box. Consider the
discrete random variable X defined as the number of defective hard
drives the inspector selects. Find the probability mass function pX
of X. Sketch the corresponding cumulative distribution function
F

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of six syringes taken from the batch. Suppose the
batch contains 5% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1,
2, 3, …, 5 and 6 defective syringes in a random sample of six
syringes.
(b)
Find μ (in terms of the number of syringes). (Enter a number.
Enter...

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of ten syringes taken from the batch. Suppose the
batch contains 1% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1,
2, 3, …, 9 and 10 defective syringes in a random sample of ten
syringes. (Select the correct graph.)
(b)Find μ (in terms of the number of syringes)....

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of twelve syringes taken from the batch. Suppose
the batch contains 1% defective syringes.(a) Make a histogram
showing the probabilities of
r = 0, 1, 2, 3, ,
11 and 12 defective syringes in a random sample of twelve
syringes.
(b) Find μ. (Enter your answer to two decimal
places.)
μ =
What is the expected...

Carpet is packaged in 100-yard rolls. Quality
control team opens five rolls every day to check problems like
inconsistency in pattern or color, stains, and other potential
defects. These problems are counted and reported as
number of problems found per roll. The following table
shows number of problems found in one day:
Sample
# of problems
1
5
2
2
3
4
4
3
5
1
What you can say about the process?
This process is not in statistical control because upper
control...

One factory produces 20 identical pencils per minute, 3 of which
come out defective. A
worker makes a random choice by drawing two pencils. Find as
follows;
(a) Which are the values of the Variable X (random choice)?
(b) Find the probability of the Random Variable X (the
probabilistic distribution f(x) for the
number of defectives). Construct the proper table.
(c) Find the discrete distribution function F(x) of discrete random
variable X with probabilistic
distribution f (x). Construct the proper...

A company produces thousands of plastic toy parts every day. So
that the toys can be assembled properly a certain tab thickness x
has to meet quality control specifications. The mean of the
population of x has to be within a certain range and the standard
deviation of the population of x has to be less than a certain
value. A quality control inspector took a random sample of 18 parts
and measured x. He computed a sample mean of...

Please, complete the following exercises:
1. A Quality Control inspector wants to estimate the true
population mean for the diameter of an extruded plastic rod. She
samples 65 rods. The mean diameter is 2.18 inches. From previous
work, the population standard deviation is known to be 0.2 inches.
Find a 95% confidence interval for the true mean diameter of all
plastic rods.
2.You work in Human Resources at Merrill Lynch. You plan to
survey employees to find their average medical...

11.3.2
Levi-Strauss Co manufactures clothing. The quality control
department measures weekly values of different suppliers for the
percentage difference of waste between the layout on the computer
and the actual waste when the clothing is made (called run-up). The
data is in table #11.3.3, and there are some negative values
because sometimes the supplier is able to layout the pattern better
than the computer ("Waste run up," 2013). Do the data show that
there is a difference between some of...

Please show your work
11.3.2
Levi-Strauss Co manufactures clothing. The quality control
department measures weekly values of different suppliers for the
percentage difference of waste between the layout on the computer
and the actual waste when the clothing is made (called run-up). The
data is in table #11.3.3, and there are some negative values
because sometimes the supplier is able to layout the pattern better
than the computer ("Waste run up," 2013). Do the data show that
there is a...

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