Graded Homework

Lean Six Sigma – Extra Credit QuizLean Six Sigma – Extra Credit Quiz

1. If the probability that a new event will occur is 0.83, then the probability that it will not occur is:

1. a) 0.17
2. b) 0.07
3. c) 1.20
4. d) 0.83

2. If the probability that event A occurs is0.51,the probability that event B occurs is 0.64 and that probability that both A and B occur is 0.23 then:

1. a) events A and B are complementary
2. b) events A and B are mutually exclusive
3. c) events A and B are not mutually exclusive
4. d) events A and B are statistically independent

3. If the probability that event A occurs is.51,the probability that event B occurs is .64 and events A and B are statistically independent then:

1. a) A and B are mutually exclusive
2. b) the probability that both A and B occur is 0.3264
3. c) A and B can’t both occur
4. d) the probability that A occurs is 1-(probability that B occurs)

4. P(A)=.42,P(B)=.58,P(A&B)=.10 Find P(A or B).

a) .90
b) 1.00
c) .24
d) none of the above

5. P(A)=.42, P(B)=.58, P(A&B)=.10.Are A and B(statistically)independent?

a) Yes b) no

6. P(A)=.42,P(B)=.58P(A&B)=.10.Are A and B mutually exclusive (or disjoint)? a) Yes

b) no
7. The mean of a Poisson distribution is 2.94.Its standard deviation is:

a) not enough information is given b) 1.71
c) 8.64
d) 2.94

8. The mean, median and mode of a distribution have the same value. What can be said about the distribution:

a) it is exponential b) it is normal
c) it is uniform
d) none of the above

9. Approximately what percent of the data values are smaller than the mean?

a) 25%
b) 50%
c) 75%
d) It varies from 0% and 99+% inclusive

10. A normal probability plot is used to:

a) determine whether the distribution is normal b) plot z values
c) determine process capability
d) find percent out of specification

11. The following is a sample data set : 10, 8, 8, 6, 5. What is the variance of this data set?

a) 3.0 b) 3.8 c) 7.3 d) 7.4

a) b) b) d)

12.

Attribute and variable Attribute Data

Counted values, Counted values, Measured values, Visual features,

data are best described as which of the following? Variable Data

Measured values Visual features

Counted values Counted values

13.

Which of the following measures of dispersion is equal to the sum of deviations from the mean squared divided by the sample size?

1. a) Range
2. b) Standard deviation
3. c) Variance
4. d) Mode 14. A fair coin is tossed 10 times. What are the expected mean and variance of the number of heads?

Mean V ariance

a)
b)
c)5.0 5

d) 10.0

5

0.5 0.025 5.0 2.5

15. For a normal distribution, two standard deviations on each side of the mean would include what percentage of the total population?

1. a) 47%
2. b) 68%
3. c) 95%
4. d) 99%