A traffic light on campus remains red for 45 seconds at a time. A car arrives at that light and finds it red. Assume tha

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A Traffic Light On Campus Remains Red For 45 Seconds At A Time A Car Arrives At That Light And Finds It Red Assume Tha 1 (22.45 KiB) Viewed 32 times

A traffic light on campus remains red for 45 seconds at a time. A car arrives at that light and finds it red. Assume that the waiting time, t seconds, at the light follows a uniform density function f. (a) Write the density function. f(t) = 0.2 X for Osts 45 (b) Calculate the probability of waiting no more than 35 seconds at the red light. (Round your answer to 4 decimal places.) 40 (c) What percentage of cars will wait at least 10 seconds at the red light? (Round your answer to two decimal places.) 22.5 X% (d) What proportion of the wait times are less than 10 seconds? (Round your answer to four decimal places.) (e) What is the average expected wait time? sec (f) What is the standard deviation of the wait times? Round to 3 decimal places. sec