3 Points] A Bernoulli experiment is a random experiment, the outcome of which ca

Question

3 Points] A Bernoulli experiment is a random experiment, the outcome of which can be classified in but one of two mutually exclusive and exhaustive ways, say success or failure. A sequence of Bernoulli trials occurs when a Bernoulli experiment is performed several independent times so that the probability of success, sayp, remains the same from trial to trial. Now an infinite sequence of Bemoulli trials is performed. Find the probability that a) at least 1 success occurs in the first n trials b) exactly k successes occur in the first n trials c) all trials result in successes

Explanation / Answer

a) P(atleast 1 success) = 1 - P(0 success) = 1 - (1-p)n

b) This is a binomial distribution problem

There nck ways for this to happen k successes

Formula: nck * pk * (1-p)(n-k)

c) P(all trials result in successes) = pk

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.