Unique Distribution
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))
P(more than four heads)
P(at least three heads)
P(less than two heads)
Use the table in each case.
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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.