7.a. Find the moment generating function, MY(t), for the continuous random varia

Question

7.a. Find the moment generating function, MY(t), for the continuous random variable Y with pdf fY(y) = 4 1 4 y e ; y 0. Calculate the variance of E (Y) and 2 Y , using its moment generating function. b. The length of a certain brand of plastic connector module for cardiac pacemakers has a standard deviation of 0.0015 inches. Assuming a normal distribution for the length of all such modules find a 95% confidence interval for its mean length given that a random sample of 75 modules had an average length of 0.310 inches

Explanation / Answer

b.The 95% confidence interval is:

x bar+/-z(0.95)*sigma/rootovern

=0.310+/-1.96*0.0015/root over 75

=0.310+/-0.003

=(0.307,0.313)

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