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Problem 3. PREVIEW ONLY -- ANSWERS NOT RECORDED (4 points) Let T X - H be a random variable, which is constituted by a random sample of size n taken from a population having mean /, where s is the sample standard deviation. It is given that the random variable ' has a t-distribution with degrees of freedom v = 8. s/ n a. Determine the size n of the given sample for the random variable T. n = b. Find the value of the constant k if P (T > k) = 0.01. k= C. Find the following probability: P (to.57