Have you ever tried to get out of jury duty? About 25% of those called will find

Question

Have you ever tried to get out of jury duty? About 25% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty (a) Ir 11 people are called for jury duty, what is the probability that all 11 will be avallable to serve on the jury? (Round your answer to three decimal places.) (D) If 11 people are called for Jury duty, what is the probability that s or more will not be available to serve on the (Round your answer to three dednal places. (c) Find the expected number of those available to serve on the jury. What is the standard deviation? (Round your answers to two decimal places.) people people least 12 people who are available to se e? (Enter your answer as 'hole number.) (d) How many people n must the jury commissioner contact to be 95.9% sure of finding at people

Explanation / Answer

Binomial distribution

a) P = 0.75^11=0.04223

b) P( 4 or less available) = 11C0 * 0.25^11 + 11C1 *0.25^10*0.75^1+11C1 *0.25^9*0.75^2+11C1 *0.25^8*0.75^3+11C1 *0.25^7*0.75^4=0.1146

c) Expected = np = 11*0.75=8.25

Standard deviation = sqrt(npq)=sqrt(11*0.75*0.25)=1.436

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

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