Binomial Probability Please read the directions on using your calculator for bin

Question

Binomial Probability Please read the directions on using your calculator for binomial distribution probabilities. For these problems you may use your calculator but you need to state what p, n, and x are along with the probability. Click on write submission and type your answers there. Please do not type the answers in the comments section. 1, A manufacturer of halogen bulbs knows that 3% of the production of their 100 w bulbs will be 2. A fair die has four faces numbered one to four. What is the probability of rolling a two exactly three 3, A packet of vegetable seeds has a germination rate of 96%, what is the probability that exactly 10 4. A student take a five question multiple-choice quiz. Each question has four possible responses. The defective. What is the probability that exactly 5 bulbs in a carton of 144 bulbs will be defective? times in ten rolls of the die? of 12 seeds planted will sprout? student guesses at random for each question. Calculate the probability for that if a student guesses they get exactly 4 correct. 5. There are 10 members on a committee. The probability of any member attending a randomly chosen meeting is 0.9. The committee cannot do business if more than 3 members are absent. What is the probability that 7 or more members will be present on a given date?

Explanation / Answer

Binomial distribution with parameter n and p ,P(X=x)=nCxpx(1-p)n-x  

(1) n=144, p=0.03, x=5

P(X=5)=0.1694 ( using ms-excel=BINOMDIST(5,144,0.03,0))

(2)n=10, p=1/4, x=3

P(X=3)=0.2503 ( using ms-excel=BINOMDIST(3,10,0.25,0))

(3)n=12,p=0.96,x=10

P(X=10)=0.0703 ( ms-excel=BINOMDIST(10,12,0.96,0))

(4)n=5,p=1/4=0.25,x=5

P(X=5)=0.001 ( using ms-excel=BINOMDIST(5,5,0.25,0))

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

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