Answer :

This is an example of a geometric distribution with success probability p=0.102

The expected number of rolls is 10.

What is a geometric distribution?

  • A discrete probability distribution of a random variable "x" that meets some requirements is referred to as a geometric distribution. The conditions for the geometric distribution are. a phenomenon that has undergone a number of tests. There are only two outcomes that can occur in a trial: success or failure.
  • Geometric distribution: If a discrete random variable X has a probability density function (p.d.f.) of the form P(X = x) = q(x-1)p, where q = 1 - p, it is said to have a geometric distribution.
  • Given a finite number of trials, the geometric distribution can be used to estimate the likelihood of success. This is extremely useful in the real world, where it is uncommon to conduct unlimited (and unrestricted) trials.

This is an example of a geometric distribution with success probability p=0.102 The expected value of the random variable of a geometric distribution is 1/p=1/0.102=9.80

Therefore, the expected number of rolls is 10.

To learn more about : Geometric distribution

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