In: Statistics and Probability
Let X be distributed as a geometric with a probability of success of 0.10. Find the probability it takes 10 or more trials to get the first success.
In Geometric Distribution, the probability of success in rth trial is given by:
,
x = 1,2,3,..
Here:
p = 0.1
So,
q = 1 - p = 0.9
P(X10) = 1 - P(X<10)
So,
P(X10) = 1 - 0.6126
= 0.3874
So,
Answer is:
0.3874