statistics

posted by .

Suppose that the number of accidents occurring in an industrial plant is described by a Poisson process with an average of 1.5 accidents every three months. During the last three months, four accidents occurred.

(a)probability that no more than 12 accidents will occur during a particular year.

(b)probability that no accidents will occur during a particular year.

  • statistics -

    the mean is based off of 3 months. multiply it out to get the mean for a correct time period (1.5x4=6). I use the Poisson function in excel. Mean is equal to 6 and x is equal to 12 and 0. True is up to a certain number (up to 12) and false is exactly a certain number (exactly 0). In this case the answers are .9912 and .0025. Good luck

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Statistics

    I have a problem I need some help on. I have answered parts. Any guidance would be appreciated. K For many years the numbers of accidents per week at a hazardous intersection have been studied. The number of accidents per week varies …
  2. Statistics

    I have a problem I need some help on. I answered some. For many years the numbers of accidents per week at a hazardous intersection have been studied. The number of accidents per week varies with mean 2.2 and standard deveiation 1.4. …
  3. STATISTICS

    The Sarasota Police department collected data on the number of car accidents ( X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. X P(X) 0 0.80 …
  4. statistics

    The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. a. What is the distribution of Xbar, the mean number of accidents in one year, (52 weeks)?
  5. probability

    There is a .97 chance that no accident will occur during any particular day at a racetrack of local importance. the probability of one accident a day is .02, and the probability of two accidents is .01. a. What is the expected number …
  6. statistics

    A particular report included the following table classifying 711 fatal bicycle accidents according to time of day the accident occurred. Time of Day Number of Accidents Midnight to 3 a.m. 38 3 a.m. to 6 a.m. 29 6 a.m. to 9 a.m. 64 …
  7. Statistics

    The number of traffic accidents per day on a certain section of highway is thought to be Poisson distributed with a mean equal 2.19. Based on this, how many traffic accidents should be expected during a week long period?
  8. Statistics

    From a recent statistical analysis for the last five years, on an average there are 4 (major) air accidents per month in the world. Let X be the number of air accidents occurred in a randomly selected month. It is known that X ~ Poisson() …
  9. statistics

    It is a known fact that accidents happen more often driving the car rather than flying. Jim drives 180 days and flies 120 times per year. If for every 110 days driving you get into one accident and for every 10000 flying you get into …
  10. math

    Solve the following problems related to automobile insurance. Jerry Adams normally pays $875 for bodily injury and property damage insurance. His insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, …

More Similar Questions