Question

In: Statistics and Probability

Let X be distributed as a geometric with a probability of success of 0.10. Find the...

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.

Solutions

Expert Solution

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


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