Question 2:(15 pts In a hotel, time to process a client's request follows an exponential distribution...
a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. c. Find the probability that a given request takes between I and 2.5 minutes to process.
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a) Write the probability density function and the cumulative probability distribution b) What is the probability that the arrival time between vehicles is 12 seconds or less? c) What is the probability that the arrival time between vehicles is 6 seconds or less? d) What is the probability of 30 or more seconds between vehicle arrivals?
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?
Question 25 0.32 pt: The time it takes to complete an examination follows an exponential distribution with a mean of 40 minutes. What is the probability of completing the examination in 30 to 35 minutes? 0.0555 0.5276 0.0525 0.5831
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 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 that it takes for the next train to come follows a Uniform distribution with f(x) =1/25 where x goes between 6 and 31 minutes. Round answers to 4 decimal places when possible. This is a Correct distribution. It is a Correct distribution. The mean of this distribution is 18.50 Correct The standard deviation is Incorrect Find the probability that the time will be at most 28 minutes. Incorrect Find the probability that the time will be between 12...
(10 pts.) A group of people at a hotel are going to dinner and need three cabs to get them to the restaurant. The arrival time for an empty cab has an exponential distribution with mean 1.5 minutes. Assuming the cabs operate independently, what is the probability that it will take the group more than 5 minutes to hail all 3 cabs? Explain your answer. (Hint: Consider the question, "Is the arrival time for 3 cabs equal to the sum...
The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes. a. What is the probability that the arrival time between customers will be 6 minutes or less? b. What is the probability that the arrival time between customers will be between 4 and 8 minutes?
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour. 5. Suppose that the time (in...