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:
Here, 17 trucks pass in 24 hours
we need to find for 3 hours
So, average = 17 * 3/24 = 2.125
Here, λ = 2.125 and x = 3
As per Poisson's distribution formula P(X = x) = λ^x *
e^(-λ)/x!
We need to calculate P(X > 3) = 1 - P(X <= 3).
P(X > 3) = 1 - (2.125^0 * e^-2.125/0!) + (2.125^1 * e^-2.125/1!)
+ (2.125^2 * e^-2.125/2!) + (2.125^3 * e^-2.125/3!)
P(X > 3) = 1 - (0.1194 + 0.2538 + 0.2697 + 0.191)
P(X > 3) = 1 - 0.8339 = 0.1661
On average, Nancy has noticed that 17 trucks pass by her apartment daily (24 hours). In...
On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 2 trucks 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.
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.
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?
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.
A certain kind of sheet metal has, on average, 3 defects per 17 square feet. Assuming a Poisson distribution, find the probability that a 28 square foot metal sheet has at least 6 defects. Round your answer to three decimal places.
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 59 per hour. Using the normal approximation to the Poisson, find the probability that the electric company receives at most 49 service calls per hour. Round your answer to four decimal places, if necessary.
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)
Let the mean success rate of a Poisson process be 11 successes per hour. a. Find the expected number of successes in a 24 minutes period. (Round your answer to 4 decimal places.) b. Find the probability of at least 2 successes in a given 24 minutes period. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) c. Find the expected number of successes in a two hours period. (Round your answer to 4 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...
Your desktop, on average, crashes 6 times in every 24 hours. 1. You are working from home and you have work to complete in 2 hours. What is the probability that your desktop will not crush in these 2 hour period? 2. What is the probability that your desktop will crush exactly twice in the next 5 hours? 3. What is the probability that 2 crushes happen in the next 5 hours? Please give clear explanation of all the steps...