Question

Question 5. Suppose that the number of accidents in a city on a rainy day is...

Question 5. Suppose that the number of accidents in a city on a rainy day is a Poisson random variable with mean 8, on a cloudy day is a Poisson random variable with mean 5 and on a sunny day is a Poisson random variable with mean 2. If the probability that it will be rainy tomorrow is 0.4, the probability that it will be cloudy tomorrow is 0.3 and the probability that it will be sunny tomorrow is 0.3;

  1. (a) What is the expected number of accidents that will occur tomorrow?

  2. (b) What is the probability that the number of accidents that will occur tomorrow is at least two?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
Data indicates that the number of traffic accidents on a rainy day is Poisson with mean...
Data indicates that the number of traffic accidents on a rainy day is Poisson with mean 19, while on a dry day, it is Poisson with mean 13. Let X denote the number of traffic accidents tomorrow. Suppose that the chance it rains tomorrow is 0.6. Find(a)P(rain tomorrow|X= 15) using Bayes rule. (b)E(X).
There are an average of 7 automobile accidents involving serious personal injuries in the City of...
There are an average of 7 automobile accidents involving serious personal injuries in the City of Austin every day. The number of daily automobile accidents involving serious personal injuries in the City of Austin, X, is distributed as a Poisson random variable. a) What is the probability that there will be at least 15 automobile accidents involving serious personal injuries in the City of Austin tomorrow? ______ b) What is the probability that there will be at least 10 but...
Suppose that the average number of accidents at an intersection is 2 per month. a) Use...
Suppose that the average number of accidents at an intersection is 2 per month. a) Use Markov’s inequality to find a bound for the probability that at least 5 accidents will occur next month. b) Using Poisson random variable (λ = 2) calculate the probability that at least 5 accidents will occur next month. Compare it with the value obtained in a). c) Let the variance of the number of accidents be 2 per month. Use Chebyshev’s inequality to find...
QUESTION 8 The probability that tomorrow will be a rainy day is 0.44. The probability tomorrow...
QUESTION 8 The probability that tomorrow will be a rainy day is 0.44. The probability tomorrow will be a windy day is 0.23. The probability that it will rain and be windy tomorrow is 0.08. What is the probability it will be windy or rainy or both tomorrow? (2 decimal places)
The number of accidents in a certain city is modeled by a Poisson random variable with...
The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
If the probability that it is a rainy day is 0.3, find the mean number of...
If the probability that it is a rainy day is 0.3, find the mean number of rainy days in a week, as well as the standard deviation.
The number of traffic accidents occurring on any given day in Coralville is Poisson distributed with...
The number of traffic accidents occurring on any given day in Coralville is Poisson distributed with mean 5. The probability that any such accident involves an uninsured driver is 0.25, independent of all other such accidents. Calculate the probability that on a given day in Coralville there are no traffic accidents that involve an uninsured driver. The answer will be 0.287, which I got 0.25 could someone willing to help thank you very much
4. Deaths in a small city occur at a rate of 5 per week and are...
4. Deaths in a small city occur at a rate of 5 per week and are known to follow a Poisson distribution. a. What is the expected number of deaths in a 3-day period? b. What is the probability no one dies in a 3-day period? c. What is the probability that at least 250 people die in 52 weeks? d. What is the probability that number of deaths in a 3-day period is less than µ + σ?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT