The wait time for an ambulance arrival (after an emergency call
to the am- bulance) has mean wait of 10 minutes and a probability
distribution function (pdf) of
p(t) = 1/10e^-1/10 . Calculate the following
(a) (3 points) The probabilty of the ambulance arriving less than Ln(20) minutes.
(b) (2 points) The probability of the ambulance arrival takes more than Ln(20) minutes.
(c) (5 points) The median of this distribution.
The wait time for an ambulance arrival (after an emergency call to the am- bulance) has...
An ambulance is en route to the hospital. The time it takes to complete one emergency response call is normally distributed with a mean of 15 minutes and standard deviation of 7 minutes. What is the probability that it will take an ambulance more than 20 minutes to complete one emergency response call?
Question 2: (11 pts) A show is scheduled to start at 9 AM, 9.30 AM and 10 AM. Once the show starts, the gate will be closed. A visitor will arrive at the gate a time uniformly distributed between 8.30 AM and 10 AM. Determine (a) Probability density function of the time (in minutes) between arrival and 8.30 AM and plot. (b) Cumulative distribution function of the time (in minutes) between arrival and 8.30 AM and plot. (c) Mean and...
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribut with a mean of 10.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities (For each answer, enter...
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 11.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers...
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 10.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers...
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers...
The scheduled arrival time for a dally flight from Boston to New York is 9:30 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:20 am and a late arrival time of 9:40 am. a. After converting the time data to a minute scale, calculate the mean and the standard deviation of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)...
The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 12]. You observe the wait time for the next 100 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 100 wait times you observed is between 565 and 669? Part b) What is the approximate probability (to 2 decimal places) that the average of the...
A review of the service call records of Paul’s Plumbing indicates that the time taken for a service call can be represented by a normal distribution with mean 75 minutes and standard deviation 20 minutes. a. What is the probability that a service call takes more than 60 minutes? (Be sure to indicate the relevant Z-score for the problem). b. What is the probability that a service call takes less than 80 minutes? (Be sure to indicate the relevant Z-score...
The scheduled arrival tme for a dally flight from Boston to New York is 9:30 am. Historical data show that the arlval time follows the continuous uniform distribution with an early arrival time of 9:20 am and a late arrival time of 9:40 am. a. After converting the time data to a minute scale, calculate the mean and the standard deviation of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)...