Generating function for a random variable
The moment generating function for a random variable X is given by Mx(t) = (1/4)+ (3/4)*(1/(1-t)), t>1. Determine formulas for the density function and distribution function. Sketch graphs for fx and Fx.
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What is the value of A such that P(-A < T < A) = .90 for a T random variable with 16 degrees of freedom? Answer to three decimal places. Use Table II from the back of the text.
Suppose we have a pile of 20 batteries, of which ?ve are dead. If we select 4 batteries at random, let X be the random variable measuring the number of dead batteries in the four we select.
A certain disease is found in one person in 5000. If a person does have the disease, the test will show a positive result 93% of the time. If a person does not have the disease, the test in 1 out of 500 cases will give a false positive result. (hi
We are interested in relationship satisfaction of young adults before and after they go off to college/university which separates them from their sweat-heart. We collect a sample of young adults which are about to be separated from their significa
In a manufacturing process a random sample of 49 bolts manufactured has a mean length of 1.67 inches with a standard deviation of .07 inches. What is the 80% confidence interval for the mean
The theorem that states that the sampling distribution of the sample mean is approximetly normal when the sample size n is reasonably large is known as the
If a sample with replacement of two ferrets is taken, list the sample space and compute the expected value and variance of the sample mean.
What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? Find the probability that she returns at most 8 of the 10 serves from her opponent.
Provide an example of where you think a graphical display could be used incorrectly. What ramification(s) do you think could result from the graphical display in your example being used incorrectly?
A roll of plastic-coated wire has an average of 0.09 flaws per 5-meter length of wire. Suppose a quality control engineer will sample a 5-meter length of wire from a roll of wire 230 meters in length. If no flaws are found in the sample, the engin
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