Assuming the binomial distribution applies with a sample size of n = 15. find th

Question

Assuming the binomial distribution applies with a sample size of n = 15. find the values below. a. the probability of 5 or more successes if the probability of a success is 0.55 b. the probability of fewer than 4 successes if the probability of a success is 0.20 a.If the probability of a success is 0.55. the probability of 5 or more successes is | |. (Round to four decimal places as needed.) b.If the probability of a success is 0.20. the probability of fewer than 4 successes is | |. (Round to four decimal places as needed.)

Explanation / Answer

a.Using Binomial distribution find:

P(5 or more successes)

=P(X>=5)

=15C5*0.55^5*0.45^10+…+15C15*0.55^15*0.45^0

=0.974

b.P(X<4)

=P(X=0)+P(X=1)+P(X=2)+P(X=3)

=15C0*0.20^0*0.80^15+…+15C3*0.20^3*0.80^12

=0.648

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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