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# Unique Distribution

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If a balanced die is rolled six times and the outcomes create a unique distribution, perform the following:
P(exactly three fives) {Use formula}
mean {Use formula}
variance {use formula}
standard deviation {use formula}

Problem # 2
If 20% of the bolts produced by a machine are detective, then out of eight randomly chosen bolts find the following
P(three defective bolts) {use TI 83}
P(zero defective bolts) {use TI 83}
mean
variance
standard deviation

Problem #3
If a coin is tossed six times and the outcomes create a unique distribution perform the following:
Fill in the distribution table (x, P(x))

Use the table in each case.

https://brainmass.com/statistics/standard-deviation/unique-distribution-17081

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If a balanced die is rolled six times and the outcomes create a unique distribution, perform the following:
P(exactly three fives) {Use formula}
mean {Use formula}
variance {use formula}
standard devaiation {use formula}
Solution.

(1) Denote the number of times the five occurs by X, then X follows binomial distribution with parameter n=6 and p=1/6, ie., X~b(6,1/6). So,

So, ...

#### Solution Summary

The solution discusses how a balanced die is rolled six times and the outcomes create a unique distribution.

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