Forums Assignment Help Statistics Question poisson distribution?

This topic contains 3 replies, has 2 voices, and was last updated by  Aakanksha 9 years ago.

Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • #1830

    ahwriter
    Participant

    Statistics Question poisson distribution?

    #10405

    Aakanksha
    Participant

    The probability that a student fails the screening test for scoliosis (curvature of the spine) at a local high school is known to be 0.004. Of the next 1875 students who are screened for scoliosis, find the probability that

    A. fewer than 5 fail the test?

    B. 8, 9, or 10 fail the test

    Could you please give me the exact answer with solutions?

    Thanks in advance. Your help is greatly appreciated! :=

    #10406

    ahwriter
    Participant

    Use the formula
    P(x = r) = nCr p^r q^(n-r)

    where n is the number of times an event has occurred, p is the probability of occurrence of a particular event, q is 1-p and r is the number of times the required events happen.

    Here n=1875, p = 0.004, q = 0.996

    A. Find P(x = 0) + P(x =1) + P(x=2) + P(x=3) + P(x=4)

    B. Find P(x = 8) + P(x = 9) + P(x = 10)

    • This reply was modified 8 months, 1 week ago by  admin.
    #10407

    Aakanksha
    Participant

    solving with the above formula (given by Alex) we get,
    A) P(x = 0) + P(x =1) + P(x=2) + P(x=3) + P(x=4) = 0.13155
    b) P(x = 8) + P(x = 9) + P(x = 10) = 0.33817

    • This reply was modified 7 months ago by  admin.
Viewing 4 posts - 1 through 4 (of 4 total)

You must be logged in to reply to this topic.