The distance between major cracks in a highway follows an exponential distribution with a mean of...
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. A. What is the probability that there are no major cracks in two separate 5-mile stretches of the highway? B. Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?
The distance between major cracks in a highway follows an exponential distribution with a mean of 20 miles. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? Please enter the answer to 3 decimal places.
-102. The distance between major cracks in a highway fol (a) What is the probability that there are no major cracks in a (b) What is the probability that there are two major cracks in a (c) What is the standard deviation of the distance between (d) What is the probability that the first major crack occurs lows an exponential distribution with a mean of 10 km. 20 km stretch of the highway? 20 km stretch of the highway? major...
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds (a) Sketch this exponential probability distribution(b) What is the probability that the arrival time between vehicles is 12 seconds or less? (Round your answer to four decimal places.) (c) What is the probability that the arrival time between vehicles is 6 seconds or less? (Round your answer to four decimal places.) (d) What is the probability of 32 or more seconds between...
The number of major faults on a randomly chosen 1 km stretch of highway has a Poisson distribution with mean 1.4. The random variable X is the distance (in km) between two successive major faults on the highway. What is the probability you must travel more than 3 km before encountering the next four major faults? Give your answer to 3 decimal places.
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. Correct: Your answer is correct. (b) What is the probability that the arrival time between vehicles is 12 seconds or less? (Round your answer to four decimal places.) Correct: Your answer is correct. (c) What is the probability that the arrival time between vehicles is 6 seconds or less? (Round your answer to four decimal places.) Correct: Your answer...
The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 16 days. Find the probability that the time between two unplanned shutdowns is a. less than 14 days. b. more than 23 days c. less than 10 days. a-The probability that the time between two unplanned shutdowns is less than 14 days is (Round to four decimal places as needed.) b.The probability that the time between two unplanned shutdowns is more than 23...
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...
The time required to assemble a part follows an exponential probability distribution with a mean of 5 minutes. What is the probability that the part can be assembled between 3 and 5 minutes? what is the probability that exactly three parts can be assembled in 10 minutes?
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 11 seconds. (a) Sketch this exponential probability distribution. (b) What is the probability that the arrival time between vehicles is 11 seconds or less? (c) What is the probability that the arrival time between vehicles is 7 seconds or less? (d) What is the probability of 33 or more seconds between vehicle arrivals?