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 USE SALT (a) If 15 people are called for Jury duty, what is the probability that all 15 will be available to see on the jury (Round your answer to three decimal places.) (b) If 15 people are called for jury duty, what is the probability that 9 or more will not be available to serve on the jury (Round your answer to three decimal places.) (c) Find the expected number of those available to serve on the jury. What is the standard deviation (Round your standard deviation to two decimal places.) people people (d) What is the smallest number of people that the jury commissioner contact to be at least 95.0% sure of finding at least 12 people who are available to serve? (Enter your answer as a whole number) people

Answer 1

Probability of Avoid the Juzy (P) = 0.25 (success) will Not avoid Jary (4)= 1-P=0.75 (facture) IS (finite ya Biñom (n=15, 92 = 0.25) P(X=x)=n pe qhox ner a 15 P(x= 6) = 15c (0.25)° (0.15) (0.75) (0.75,6 Is P(x20) = 15! O! 15! p\X=0) 0.013 so that all 15 will be probability available is 0.013, h P(x2) - P ( x2 ) P(x2) 1- [ Pex=s) - + P(x=83] Ž 156,6.25)(0.75,152 P(x29) - Хээ calculator using Binomial 0.996 Pares021-

Plx29) = 0.004 will he that 9 or more vi Probability available is 0.00u ] © beve Now Probability of p. 0.75 Tota No. of people (n) 15 Expected Noa nop a 15x0.75 w (11.251 Standard deviation (o)= npq 6 ſi 15x0.75 X 0.25 16.627 -148 @ P(x219) ¿ 1- P ( x<12) P(x212) Il M= hx no Cx (0.75)*(0.25) X Now if no 20. P(x2,12) 0.959 People will have a sample of 52 20