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1. Suppose that tr(PA) = 0 for every skew-symmetric matrix P. Show that the matrix A is symmetric.
2. Let A be an n X n matrix and C be a nonsingular matrix of order n X n. Show that A, C-1 AC, and CAC-1 have the same set of eigenvalues.
Packages from packing machine have a mass, which is normally distributed with mean 200g and standard deviation 2g. Find the probability that the package from the machine weighs
A club has 225 members. If there is a 60% attendance rate per meeting, find the mean, variance, and standard deviation of the number of people who attend each meeting. Note that this is a binomial distribution.
A sample of 20 cigarettes is tested to determine nicotine content and the average value observed was 1.2 mg. Compute a 99 percent two-sided confidence interval for the mean nicotine content of a cigarette if it is known that the standard deviation..
in my office we have 20 men and 35 women. the board of directors is going to appoint four new positions president vice
Define the term independent and independent variable for this study - describe the scale of measurement used for the independent variable.
A sample of n=10 in each treatment. For this study, the three samples have SS1=10, SS2=20, and SS3=15. What value would be obtained for MSwithin?
Assume that each bit is sent n times, where n is an odd number, and that the receiver assigns the value decoded in the majority of the bits. What is the minimum value of n necessary so that the probability that the correct value is assigned is at ..
Water carriers played a dominant role in the transportation system of the United States in the 18th and 19th centuries. Why has their relative position declined during the 20th century? Are they still an important component of the total transporta..
the drying time of a certain type of paint under specified test conditions is known to have mean value 75 minutes.
Evaluate the significance of the hypothesis that the randomized algorithm has a lower average runtime than the known comparison algorithm. As before, explain and list your calculations, test choices, and conclusion drawn.
question the joint probability function of two random discrete variables x and y with natural values not negative
at the downtown office of first national bank there are five tellers. last week the tellers made the following number
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