The probability distribution of x is f(x) = ke–x,0 ≤ x ≤ . Find the appropriate value of k. Find the mean and variance of x.
Answer to relevant QuestionsThe random variable x takes on the values 1, 2, or 3 with probabilities (1 + 3k)/3, (1 + 2k)/3, and (0.5 + 5k)/3, respectively. (a) Find the appropriate value of k. (b) Find the mean and variance of x. (c) Find the ...A random sample of 50 units is drawn from a production process every half hour. The fraction of nonconforming product manufactured is 0.02. What is the probability that be p ≤ 0.04 if the fraction nonconforming really is ...An electronic component for a medical X-ray unit is produced in lots of size N = 25. An acceptance testing procedure is used by the purchaser to protect against lots that contain too many nonconforming components. The ...Reconsider the power supply manufacturing process in Exercise 3.52. Suppose we wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability ...Suppose that you are testing the following hypotheses where the variance is known: H0 :100 H1 :100 Find the P-value for the following values of the test statistic. (a) Z0 = 2.75 (b) Z0 = 1.86 (c) Z0 = ...
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