# Chebychev's Theorem, Association and the Vital Few

1. The ______________can be used to differentiate the "vital few" causes of quality problems from the "trivial many" causes of quality problems.

A) histogram

B) scatter plot

C) Pareto chart

D) box plot

2. Which display is most likely to reveal association?

A) Dot plot.

B) Scatter plot.

C) Histogram.

D) Radar chart.

3. Which is a characteristic of the mean as a measure of central tendency?

A) Deviations do not to sum to zero when there are extreme values.

B) Is less reliable than the mode when data are continuous.

C) Utilizes all the information in a sample.

D) Is usually equal to the median in samples of business data.

4. Chebychev's Theorem

A) applies to all samples.

B) applies to samples from a normal population.

C) gives a narrower range of predictions than the Empirical Rule.

D) has all of the above characteristics

5. Events A and B are mutually exclusive when

A) the joint probability of the two events is zero.

B) they are independent events.

C) P(A)P(B) = 0

D) P(A)P(B) = P(A | B)

6. If each of two independent file servers has a reliability of 93% and either alone can run the web site, then the overall web site availability is

A) 0.9522

B) 0.8649

C) 0.9300

D) 0.9951

7. In a certain sample space, the following probabilities are given:

P(A  B) is equal to

A) 0.171

B) 0.525

C) 0.120

D) 0.571

8. The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. What is the probability that the MPG for a randomly selected compact car would be less than 32?

A) 0.3944

B) 0.8944

C) 0.1056

D) 0.5596

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Use the following to answer 9-10

The time required for a citizen to complete the 2000 U.S. Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes.

9. What proportion of the citizens will require less than one hour?

A) 0.4772

B) 0.9772

C) 0.9974

D) 0.9997

10. The slowest 10% of the citizens would need at least how many minutes to complete the form?

A) 27.2

B) 35.8

C) 52.8

D) 59.6

https://brainmass.com/statistics/box-plot/chebychev-theorem-association-vital-few-231725

#### Solution Preview

1. C) Pareto Chart

2. B) Scatter Plot

3. C) Utilizes all the information in a sample

4. D) has all of the above characteristics

5. A) the joint probability of the two events is zero.

6. D) 0.9951

7. C) 0.120

8. B) 0.8944

9. ...

#### Solution Summary

The solution contains several multiple choice questions and their detailed solutions using Normal distribution, Correlation and probability.