SOLUTION: Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find ​P(3​) when p equals=0.90

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Question 1150650: Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.

Find
​P(3​)
when
p equals=0.90
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
x=3
p=0.90
by definition of geometric probability
P%28x%29=+q%5E%28x-1%29%2Ap .........since q=1-p, we have
P%28x%29=+%281-p%29%5E%28x-1%29%2Ap...........substitute given values
P%283%29=+%281-0.90%29%5E%283-1%29%2A0.90
P%283%29=+%280.10%29%5E2%2A0.90
P%283%29=+0.01%2A0.90
P%283%29=+0.009