SOLUTION: Calculate the following probabilities and indicate which probability distribution model is appropriate in each case. A very good darts player can hit the bull’s eye (red circle

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Question 1164736: Calculate the following probabilities and indicate which probability distribution model is
appropriate in each case. A very good darts player can hit the bull’s eye (red circle in the
center of the dart board) 65% of the time. What is the probability that he
(a) hits the bull’s eye for the 10th time on the 15th try?
(b) hits the bull’s eye 10 times in 15 tries?
(c) hits the first bull’s eye on the third try?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Two things:

1. If the probability of success for any given trial is , then the probability of failure for any given trial is .

2. The probability of exactly successes in trials where the probability of success on any given trial is is given by

For part a) you need the probability of 9 successes in 14 trials times the probability of success once, so:



For part b) it is just

And for part c) you need the probability of missing on the first two tries times the probability of hitting once, i.e.

You can do your own arithmetic

John

My calculator said it, I believe it, that settles it