Question

> What is the expectation of the number of failures preceding the first succes in an infinite Series
of independent trials with constant prob. p of success is a trial?​

Answer 1

Step-by-step explanation:

narendar modi Babulal jandal

Virbhadra Singh Mahatma Gandhi

Subhash Chandra BOS

Answer 2

Answer:

The probability that it will fail on the first trial is 1−p1−p.

The probability that it will succeed on the first trial but fail on the next is p(1−p)p(1−p).

The...

The trend here is obvious. Now the expectation will be 1(1−p)+2p(1−p)+3p2(1−p)+4p3(1−p)+⋯1(1−p)+2p(1−p)+3p2(1−p)+4p3(1−p)+⋯.

Now do some footwork with infinite series.