Question

Using the Poisson distribution function, if 1.1 accidents can be expected at a certain intersection every...

Using the Poisson distribution function, if 1.1 accidents can be expected at a certain intersection every day, what is approximately the probability that there will be three accidents at that intersection on any given day?

a) 0.048

b) 0.7685

c) 0.0738

d) 0.4212

e) None of the Above
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We know Poisson distribution PDF is

Where we have given

1.1 accidents can be expected at a certain intersection every day

m = parameter in Poisson distribution = 1.1

We have given X = 3 because There will be three accidents at that intersection on any given day

Round to 4 decimal place

Final answer :-

Correct choice is (c)

0.0738

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Car accidents at a certain intersection are randomly distributed in time according to a Poisson process,...
Car accidents at a certain intersection are randomly distributed in time according to a Poisson process, with 7 accidents per week on average. If there were 3 accidents in a 2-week period, what is the probability there were 2 accidents in the first 1 of these 2 weeks? (4 decimal accuracy please)
Car accidents at a certain intersection are randomly distributed in time according to a Poisson process,...
Car accidents at a certain intersection are randomly distributed in time according to a Poisson process, with 5 accidents per week on average. What is the probability that there are 1 accidents in the first 1 week period and 1 more in the second 1 week period.? (4 decimal accuracy please)
The number of cars that arrive at a certain intersection follows the Poisson distribution with a...
The number of cars that arrive at a certain intersection follows the Poisson distribution with a rate of 1.9 cars/min. What is the probability that at least two cars arrive in a 2 minutes period?
The probability that there is no accident at a certain busy intersection is 91% on any...
The probability that there is no accident at a certain busy intersection is 91% on any given day, independently of the other days. (a) [2 marks] Find the probability that there will be no accidents at this intersection during the next 4 days. (b) [2 marks] Find the probability that in next 4 weeks there will be exactly 4 days with accidents. (c) [2 marks] Today was accident free. Find the probability that there is no accident during the next...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of...
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 1.74 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...
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t)...
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t) Find E(X) using the moment generating function 2. If X1 , X2 , X3  are independent and have means 4, 9, and 3, and variencesn3, 7, and 5. Given that Y = 2X1  -  3X2  + 4X3. find the mean of Y variance of  Y. 3. A safety engineer claims that 2 in 12 automobile accidents are due to driver fatigue. Using the formula for Binomial Distribution find the...
With a mean of 16, a Poisson distribution can be approximated by a normal distribution with...
With a mean of 16, a Poisson distribution can be approximated by a normal distribution with the same mean. It is known that, under a normal distribution, in between the two lines [mean - 1 standard deviation] and [mean + 1 standard deviation] approximately 68% of the area under the normal curve is covered. If Bigfield is facing its peak demand period with an average of 16 jobs per day and its capacity is set at 20 jobs per day,...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of heart transplants performed per day in a country is about eight. Find the probability that the number of heart transplants performed on any given day is​ (a) exactly six​, ​(b) at least seven​, and​ (c) no more than four. ​(a) ​P(6​)equals...
The probability distribution of the number of accidents in North York, Ontario, each day is given...
The probability distribution of the number of accidents in North York, Ontario, each day is given by x 0 1 2 3 4 5 P(x) 0.20 0.15 0.25 0.15 0.20 0.05 a) Based on this distribution, what would be the expected number of accidents on a given day? A: 1.81 B: 1.47 C: 2.15 D: 4.62 b) Based on this distribution, what is the approximate value of the standard deviation of the number of accidents per day? A: 2.15 B:...
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain...
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year. a. Find the probability​ that, in a​ year, there will be 5 hurricanes. b. In a 35​-year ​period, how many years are expected to have 5 ​hurricanes? c. How does the result from part​ (b) compare to a recent period of 35 years in which 3 years had 5 ​hurricanes? Does the Poisson distribution work well​ here? a. The...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT