SOLUTION: Statement #1 "When the space shuttle was launched, the crew had the same chances of surviving as if they were playing Russian Roulette with a gun having 8 chambers and 1 bullet.

Question 1147090: Statement #1
"When the space shuttle was launched, the crew had the same chances of surviving as if they were playing Russian Roulette with a gun having 8 chambers and 1 bullet." (Russian Roulette involves putting one bullet into a gun having 8 bullet chambers, spinning the chambers, putting the gun barrel to your head and pulling the trigger.)
Find the following: (Show work)
The probability of surviving Russian Roulette
The probability of a fatal accident playing Russian Roulette
The probability of a field joint functioning. (This is in the video)
Assume the six filed joints fastening the O-ring act independently; find the probability the O-Ring functions.
Find the probability the O-ring malfunctions.
Do you agree or disagree with statement #1? Include justification using what you found above.
Statement #2
"When the space shuttle was redesigned, it had an additional O-ring installed that was truly independent of the other two O-rings. This new O-ring increased the probability of the O-rings functioning successfully."
7. Using the same 6 field joints and their probabilities (see #4), fill in the probability distribution table (the initial set of O-rings are dependent and act as the one O-ring and the newly installed independent O-ring is the second O-ring). Show work.
Event
Probability
First set of O-rings function and second O-ring functions

First set of O-rings malfunction and second O-ring functions

First set of O-rings function and second O-ring malfunctions

First set of O-rings malfunction and second O-ring malfunctions

8. Use the probabilities from problem 7 to fill in the probability distribution table. Let x = the number of O-ring malfunctions
x
P(x)
0

1

2

9. Using the probabilities from problem 8, find:
a. the probability of explosion on lift-off
b. the probability of a safe lift-off
10. Conclusion: Comment on the effect of having the third O - ring. Be specific including justification from what you found above using complete sentences.
Answer by ikleyn(52809) (Show Source): You can put this solution on YOUR website!
.

Everything which is longer than 10 lines, is not a Math problem, by the definition,

and NOBODY and NEVER will read it.

It is not so interesting reading.

It is anguish to read it . . .

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