Six Sigma

1 | Module: Module 6 / Topic: Distributions | An event has historically averaged 1.4 occurrences per time period,what is the probability of exactly 4 occurrence(s) in a randomly selected time period of the same length? | you answered wrong and the Correct answer is 0.03947
Explanation:
In this case, probability of getting exactly 4 occurrences is obtained using the following function: =POISSON(4,1.4,0) | | | | | 2 | Module: Module 6 / Topic: Distributions | | Given a normally distributed population with a mean of 392.84 and a standard deviation of 32.92.What is the probability of a randomly selected item having a value less than 314? | | you answered wrong and the Correct answer is 0.00831
Explanation:
=NORMDIST(314,392.84,32.92,1) | | | | | 3 | Module: Module 6 / Topic: Distributions | | A plant produces marbles, and 38.6% of all marbles produced are red. What is the probability of selecting less than or equal to 5 red marble(s) in a randomly selected sample of 9 marbles? | | you answered wrong and the Correct answer is 0.91500
Explanation:
Using the following function:=BINOMDIST(5,9,0.386,1) | | | | | 4 | Module: Module 6 / Topic: Distributions | | Given a normally distributed population with a mean of 361.2 and a standard deviation of 26.38. What is the probability of a randomly selected item having a value greater than 381.4? | | Correct | | | | | 5 | Module: Module 6 / Topic: Distributions | | A plant produces marbles, and 88.9% of all marbles produced are red. What is the probability of selecting more than 5 red marble(s) in a randomly selected sample of 10 marbles? | | Correct | | | | | 6 | Module: Module 6 / Topic: Distributions | | Given a normally distributed population with a mean of 417.43 and a standard deviation of 26.06. 72.91% is the probability of being less than what value? | | you answered wrong and the Correct answer is 433.32900
Explanation: