Question 380600: 12 members of a team want to use a spaceship to parachute somewhere. The probability of a successful jump is .7980 meaning that there is a one chance in five that someone would be badly hurt. However, given a successful jump, the probability of expedition success was .9943. Examine the probability .7980 of a successful jump. If you were one of the 12 members of the team, what is the probability that you would successfully complete your jump? In other words if the probability of a successful jump by all 12 members is .7980, what is the probability that a single member could successfully complete the jump?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 12 members of a team want to use a spaceship to parachute somewhere.
The probability of a successful jump is .7980 meaning that there is a one chance in five that someone would be badly hurt.
However, given a successful jump, the probability of expedition success was .9943.
Examine the probability .7980 of a successful jump.
If you were one of the 12 members of the team, what is the probability that you would successfully complete your jump?
In other words if the probability of a successful jump by all 12 members is .7980, what is the probability that a single member could successfully complete the jump?
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Assuming the probability for each of the 12 is the same and
that the probabiities are independent.
P(each successful jump) = (0.7980)^(1/12) = 0.9814
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Cheers,
Stan H.
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