Determine whether the following probability experiment represents a binomial exp

Question

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. A hockey player who makes 15% of his shots is asked to take shots until he misses The number of shots attempted s recorded Does the probability experiment represent a binomial experiment? A. No, because there are more than two mutually exclusive outcomes for each trial B. No, because the experiment is not performed a fixed number of times. C. Yes, because me experiment satisfies all the criteria for a binomial experiment D No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Explanation / Answer

Here we have given that ,

we know the assuptions of the binomial distribution

which is n independent bernoulli trials

where n is sample size is fix and

there are only two outcomes sucess and failure.

So

here,

Hockey player who makes 15 % shots is our probablity of sucess

i.e p= probablity of success = 0.15

and also

n= number of shots attempted is recoreded

it is also fix

So here all the assuptions of the binomial distribution is satisfied .

here option (C) is correct

which is

yes , because of experiment satisfies all the criteria for a binomial experiment

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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