The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of seconds. (a) Sketch this exponential probability distribution. f(x)...


The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of<br>seconds.<br>(a) Sketch this exponential probability distribution.<br>f(x)<br>f(x)<br>f(x)<br>f(x)<br>0.15<br>0.15<br>0.15<br>0.15<br>0.10<br>0.10<br>0.10<br>0.10<br>0.05<br>0.05<br>0.05<br>0.05<br>5<br>10<br>15<br>20<br>25<br>30<br>5<br>10<br>15<br>20<br>25<br>30<br>5<br>10<br>15<br>20<br>25<br>30<br>5<br>10<br>15<br>20<br>25<br>30<br>(b) What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.)<br>.6321<br>(c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.)<br>.4512<br>(d) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.)<br>.0498<br>

Extracted text: The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of seconds. (a) Sketch this exponential probability distribution. f(x) f(x) f(x) f(x) 0.15 0.15 0.15 0.15 0.10 0.10 0.10 0.10 0.05 0.05 0.05 0.05 5 10 15 20 25 30 5 10 15 20 25 30 5 10 15 20 25 30 5 10 15 20 25 30 (b) What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.) .6321 (c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.) .4512 (d) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.) .0498

Jun 09, 2022
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