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1. We have found the density of the sum of two independent U(0,1) variables. Use that result to find the density of the sum of three independent U(0,1) variables. (You will need to treat the intervals (0,1), (1, 2) and (2,3) separately, although an appeal to symmetry can reduce the work. Give yourself a gold star if you get the right answer first go - get the limits of the integrals correct.)
2. We use h(t) = 7 f (x)g(t - x)dx , with f(x) = 1 over (0,1), g(u) = it when 0 <-CO t u < 1 and g(u) = 2-u when 1 < u < 2. For 0 < t < 1 then h(t) = .11.(t-x)dx = 0 t- I t2/2. For 1 < t < 2 then h(t) = f 1.(2-t+x)dx+ I 1.(t - x)dx = 3t - t2 - 3/ 2.o t-i
For 2 < t < 3 then h(t) = 1 1.(2 - t + x)dx = (3 - 02/2.
if a person bought one share of google stock within the last year what is the probability that the stock on that day
Approximately normally distributed with σ=10. Determine the probability that a randomly selected chocolate bar will have: 4.3 more than 155 calories.
When you calculate CIs for time on task, I notice that you use the critical value from the t-distribution (TINV(0.05, degrees_of_freedom))
Fizz fizz soda comes in two varieties, regular and diet. If a researcher has 8 boxes of each, how many ways can he select 2 boxes of each for a quality control test? Which answer would be correct?
question a researcher wishes to determine whether the average amount of bleaching agent in a 1kg packet of brand x
Test hypothesis that intake of linoleic acid in this group is lower than that of general population. Also, calculate p-value for hypothesis test.
determine the point estimate of the population the margin of error for the following confidence interval and the number
Derive a simplified version of the above model that includes only the statistically significant variables.
Pearson correlation coefficient was 0.61.a. Was the correlation coefficient significantlydifferent from zero? Use α = 0.05.b. Predict the torque for a current equal to 50 mA.
In a paragraph explain the differences between the Independent Samples and Paired Samples T-Test. When do you use each? Purpose a research question that could be addressed using each test
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11.
The quality control manager at a light globe factory needs to estimate the mean life of large shipment of energy-saving compact light globes. The historical standard deviation of light globe life is 250 hours. A random sample of 64 light globes..
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