SOLUTION: Is this the correct way to solve this problem? binomcdf (8, 0.02, 1) Ques-A tire manufacturer has determined that 2%of their tires are defective. Find the probability that an ins

Algebra ->  Probability-and-statistics -> SOLUTION: Is this the correct way to solve this problem? binomcdf (8, 0.02, 1) Ques-A tire manufacturer has determined that 2%of their tires are defective. Find the probability that an ins      Log On


   

Question 322379: Is this the correct way to solve this problem? binomcdf (8, 0.02, 1)
Ques-A tire manufacturer has determined that 2%of their tires are defective. Find the probability that an inspector will not find a defective tire until the 8th tire he inspects.
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
This is a geometric distribution.
A geomteric follows these rules:
1. A trial is repeated until a success occurs
2. The trials are independent.
3. The probability of success is constant for each trial.
We want the probability that the first success will occur on the xth trial.
In this case, x=8
p%2A%281-p%29%5E%28x-1%29
%28.02%29%28.98%29%5E7=.017