Although cities encourage carpooling to reduce traffic congestion, most vehicles

Q: Although cities encourage carpooling to reduce traffic congestion, most vehicles

a) mean = 10*0.69 = 6.9 variance = 10*0.69*0.31 = 2.139 standard deviation = 1.4625 z value for 6 is (6-6.9)/1.4625 = -0.6154 P(x=6) = 1-0.269145 = 0.730855 = 0.7309 b) mean = 116*0.69 = 80.04 variance = 116*0.69*0.31 = 24.8124 standard deviation =4.9812 z value for 59 is (59-80.14)/4.9812 = -4.24395 P(x=59) = 1-0.000011 = 0.000089

ID: 3208101 • Letter: A

Question

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 69% of vehicles on the roads are occupied by just the driver. (Round your answers to four decimal places.) (a) If you choose 10 vehicles at random, what is the probability that more than half (that is, 6 or more) carry just one person? (b) If you choose 116 vehicles at random, what is the probability that more than half (that is, 59 or more) carry just one person? (Use the normal approximation.)

Explanation / Answer

mean = 10*0.69 = 6.9

variance = 10*0.69*0.31 = 2.139

standard deviation = 1.4625

z value for 6 is (6-6.9)/1.4625 = -0.6154

P(x<6) = 0.269145

P(X>=6) = 1-0.269145 = 0.730855 = 0.7309

mean = 116*0.69 = 80.04

variance = 116*0.69*0.31 = 24.8124

standard deviation =4.9812

z value for 59 is (59-80.14)/4.9812 = -4.24395

P(x<59) = 0.000011

P(X>=59) = 1-0.000011 = 0.000089

Navigate

Although cities encourage carpooling to reduce traffic congestion, most vehicles

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

Although cities encourage carpooling to reduce traffic congestion, most vehicles

Question

Explanation / Answer

Related Questions

Navigate