Question

In: Statistics and Probability

In a simple experiment, you are going out there to the duck pond to seine out...

  1. In a simple experiment, you are going out there to the duck pond to seine out one redbreast sunfish at random, determine its sex, and put it back in the pond and then, after 30 minutes, repeat this process. Assuming that the sex ratio for redbreast in the pond is 1:1, develop and plot the pmf of the random variable X, defined as the number of females in the two fish observed.
    1. Is the distribution of X symmetric or asymmetric?
    2. Explain why the result in (a) was obtained.
    3. Describe a simple experiment (at most 2-3 sentences) that you would perform to determine whether the sex ratio is really 1:1.

Solutions

Expert Solution

if the calculated value of T is between c1 and c2 then we can conclude that the sex ratio is 1:1. Otherwise not so.

The graph of P(X=x) when p =(1/2) is


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