On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 1 truck will pass her apartment in a 2-hour time period using the Poisson distribution, find the average number of trucks per 2 hours. Round your answer to three decimal places, if necessary.
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On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In...
On average, Nancy has noticed that 17 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 3 trucks will pass her apartment in a 3-hour time period using the Poisson distribution, find the average number of trucks per 3 hours. Round your answer to three decimal places, if necessary. Provide your answer below:
On average, Joel has noticed that 16 trucks pass by his apartment daily (24 hours). In order to find the probability that more than 6 trucks will pass his apartment in a 11 hour time period using the Poisson distribution, what is the time interval of interest?
During office hours, telephone calls to a single telephone in an office come in at an average rate of 18 calls per hour. Assuming that a Poisson distribution can be applied find the probability that in 5 mins period there will be Exactly 2 calls (2 marks) More than 3 calls (2 marks)
Pasquist Water Company (PWC) operates a 24-hour facility designed to efficiently fill water-hauling tanker trucks. Trucks arrive randomly to the facility and wait in line to access a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the time to fill a truck is also random. a. If the manager of PWC uses the "multiple-server model" to calculate the operating characteristics of the facility's waiting line, list three assumptions she must...
The average number of students visiting a professor during her office hour is 2. Use an appropriate probability distribution used in this class to find the probability that 3 or more students will visit during her next office hour. Answer to four decimal places.
The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that more than 1 bankruptcy occur next month. Round your answer to four decimal places. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. What is the expected...
3. From 2000-2019 there were a total of 3071 earthquakes worldwide with a magnitude of 6 or greater, or an average of about 0.42 such earthquakes per day.* Assume that moving forward the total number of such earthquakes to occur over any time period follows a Poisson distribution with an average of 0.42 earthquakes per day. For the remainder of this question, "earthquake" will mean an earthquake with a magnitude of 6 or greater. Define a new random variable as...
1) Justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours. What is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours? (Round your answer to three decimal places.) 2) A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification. Every hour, 12...
The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 17 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) If one randomly selected runner is timed, find the...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...