1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Probability Problem

  1. Mar 30, 2010 #1

    Cdn

    User Avatar

    I am a senior ecology undergraduate, this problem came up on the last assignment for my population ecology class. It's been a long time since I've done any probability, but I remember a bit and hope I'm on the right track.

    1. The problem statement, all variables and given/known data

    There is a species of parasitic worm that inhabits the intestines of the moose, the eggs of this parasite exit the moose in the feces for all practical purposes every moose who has the parasite has eggs in the feces. The eggs however are not very numerous and only 20% of all slides prepared from an infected fecal sample will contain some. How many slides would a lab tech have to prepare and to examine per specimen, so that if a specimen is positive, there is a 99% probability that at least one slide will show eggs present in the slide?

    2. Relevant equations

    3. The attempt at a solution

    I'm thinking that the binomial probability distribution would be appropriate as each trial (slide) has only two outcomes (positive, eggs present, 20%, p=0.2 or negative, eggs not present, 80%, q=0.8). p+q=1. The total number of slides = n. Since the problem is asking for probability of "at least one slide", it would be the additive probabilities of one slide + two slides +. . . + n slides (0.99) which is equal to the alternative 1-(the probability that 0 slides out of n contain eggs(0.01)). If my thinking is correct so far . . . I would be able to use this equation

    ml4.gif =0.01

    If I were to go with the 0 successful trials route the equation would equal 0.01, n=total number of trials (unknown in this situation), h=0, p=0.8.

    From here I am stuck, I can't figure out how to solve for n.

    I hope I'm on the right track.

    Thanks
     
  2. jcsd
  3. Mar 30, 2010 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    When you set h=0, the expression will simplify quite a bit. Then take the log of each side to bring the n down from the exponent.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Probability Problem
  1. Probability problem (Replies: 4)

  2. Probability problem (Replies: 31)

  3. Probability problem (Replies: 5)

  4. Probability problem (Replies: 59)

Loading...