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chegg.com in The First Nine Months Of A Year, Airline Con... Chegg.com mathal.com DS 2333 Fall 2017 Chris Mazza 11/27/17 1109 Homework: Extra Credit HW on Test 2 Material Score: 0 of 1 pt 6.5.31 60f9(1 complete) Hw Score: 0%, 0 of Question Help utos armive at a toll plaza located to a assuming that an auto has just arrived a. What is the probability that the next auto will armive within 6 seconds (0.1 minute)? b. What is the probability that the next auto will arrive within 1 second (0 0167 mirute)? atthe entrance to a bridge at a rate of 10 per minute dring the 5:00600PM. hour. Dete mine the following probabities c. What are the answers to (a) and (b)fthe rate of arival of autos is 60 per minute? d. What are the answers to (a) and (b) if the rate of arival of autos is 30 per minute? a. The probability that the next auto will arrive within 6 seconds is Round to four decimal places as needed) Enter your answer in the answer box and then click Check Answer 5partarring Clear Al Check Answer 2 3

Explanation / Answer

a) Exponential distribution, cdf = 1 - ex

= 1/ 0.1 min

P(X <= 0.1) = 1 - e-1*0.1 = 0.0952

b) = 0.167/ 0.0167 min

P(X <= 0.0167) = 1 - e-0.167*0.0167 = 0.0028

c) For 60 per minute
= 6/ 0.1 min
P(X <= 0.1) = 1 - e-6*0.1 = 0.4512

P(X <= 0.0167) = 1 - e-1.002*0.0167 = 0.0166

d) For 30 per minute

= 3/ 0.1 min

P(X <= 0.1) = 1 - e-3*0.1 = 0.2592

P(X <= 0.0167) = 1 - e-0.501*0.0167 = 0.0083

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