Math 117 Practice Midterm 2
Please work out each of the given problems. Credit will be based on the steps that you show towards the final answer. Show your work.
The following table gives the probability distribution for the number of kittens in a litter.
Determine E(x) and s. Explain the meaning of each.
You have experimented with the days for germination for a lupin and know that the distribution follows the parabolic distribution
f(t) = kt(1 - t) for 0 < t < 1
where t is measured in months and k is a positive constant.
A. Find k.
B. Find the probability that a lupine seed will germinate between 0.3 and 0.5 months.
C. Find the expected value E(t) and interpret what it means.
D. Find the standard deviation.
Currently, the benefit package costs the college $9442 and is expected to increase 20% next year. Assume the 20% increase becomes a trend over the next several years.
A. Write an expression for the cost of the benefit package after n years.
B. Compute the cost of benefits in the year 2020. (This year is 2004).
Determine the convergence or divergence of the following series.
Explain why the series converges. Then approximate the following sum using 5 terms. Then estimate the maximum error of your approximation.