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 to four decimal places.)
(a) the response time is between 3 and 8 minutes
(b) the response time is less than 3 minutes
(c) the response time is more than 8 minutes
Police response time to an emergency call is the difference between the time the call is...
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 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 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...
The response time of a fire department in an emergency call is the period between the time the call is received by the dispatcher and the time the first truck service arrives on the scene. It was found that the response time follows a normal distribution with mean of 12 min and standard deviation of 2 min. a) What is the probability that the response time is less than 15 min? b) A dispatcher claims that the response time exceeds...
a. Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 75 tons and standard deviation σ = 1.6 ton. (a) What is the probability that one car chosen at random will have less than...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
Mt. Brighton Ski Resort is looking at their response times for emergency calls at their resort. One variable of interest is the time it takes to respond to a call for ski patrol help. Let X be the continuous random variable that describes this time. Their last data gathering exercise showed that the average time was 5 minutes and the standard deviation was 1.5 minutes. Assume the distribution on time is Normal. 10% of emergency calls are responded within how...
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.
10. Fire department response time is the length of time it takes a fire truck to arrive at the scene of a fire starting from the time the call was given to the truck. Response time for the Castle Wood Fire Department follows a mound shaped and symmetrical distribution. The response time has mean μ-8.8 minutes with standard devi- ation ơ 2.1 minutes. If a random sample of 32 response times is taken and the mean response time is computed,...
ambulance response time is being studied by the D.C emergency response team. they discovered that the response time has an average of u=18.4 mins and a standard deviation of o=4.2. Assume that the distribution of response times is normal and find the probability (or proportion of all observations) that a response time is : a) more than 25 mins b) between 15 and 20 mins