Time: 20 minutes. This quiz is open book, open notes.
1. Estimate the probability that a Binomial(225, 0.20) variable will not exceed 38.
2. A box has six hundred tickets.
Three hundred of them have a zero, one hundred have a one, one hundred have a
two, and one hundred have a three.
a) Compute the fifth moment of the distribution defined by this box.
b) One of the tickets with a zero is removed and replaced by a ticket with
an 11. To approximate the change in fifth moment, note that the mean
increases only by (11 - 0)/600 = 0.0183..., which is quite small. So
assume the mean is essentially unchanged and, based on that assumption, estimate
the new fifth moment.
Scoring: The passing score is 90.
Return to the Environmental Statistics home page
This page is copyright (c) 2001 Quantitative Decisions. Please cite it as
This page was created 24 February 2001.