statistics

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.

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. biology

    jordan is doing a science fair project on the effect of music on the growth of tomatoes. he has two tomato plants, plant A and B, that he grows in a window and gives the same amount of water. plant A is exposed to classical music

  2. History

    Which option accurately describes events of the Industrial Revolution and subsequent emergence of capitalism? A. The Industrial Revolution resulted in the reemergence of the Catholic Church’s oversight of European monarchs and

  3. Statistics & Probability

    Consider a Poisson process with rate λ=4, and let N(t) be the number of arrivals during the time interval [0,t]. Suppose that you have recorded this process in a movie and that you play this movie at twice the speed. The process

  4. Science

    The fastest growing plant on record is the hesperoyucca whipplei suppose a plant of this type grows 2.5 m in 14 days, what is the growth rate in micrometer per second?

  1. math

    The table shows the height of a plant at each month. Use the table to answer the questions. (Use the Desmos graphing calculator to do this problem.) Number of months 1 2 3 4 5 6 7 Height of plant (inches) 2.3 3.6 5.2 4.9 7.3 7.6

  2. 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

  3. Math

    Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of workers and the time they work. If 340 workers can produce 204 cars in 4 hours, find the number of workers that can produce 180

  4. probability

    Problem 6 (a). Starting at time 0, a red bulb flashes according to a Poisson process with rate λ=1 . Similarly, starting at time 0, a blue bulb flashes according to a Poisson process with rate λ=2 , but only until a nonnegative

  1. Statistics

    Accidents on a bike path. Examining the location of accidents on a level, 5-mile bike path shows that they occur uniformly along the length of the path. Figure 3.4 displays the density curve that describes the distribution of

  2. math

    Suppose P is the theoretical probability of an event occurring. Which of the following is the correct formula for calculating P?

  3. Probability

    Problem 1. Starting at time 0, a red bulb flashes according to a Poisson process with rate λ=1 . Similarly, starting at time 0, a blue bulb flashes according to a Poisson process with rate λ=2 , but only until a nonnegative

  4. Algebra

    Lynn is tracking the progress of her plant’s growth. Today the plant is 5cm high. The plant grows 1.5 cm each day. Find the height of the plant after 20 days.

You can view more similar questions or ask a new question.