8. Suppose X~N(5,1), find: (а) Р(X < 2.5) (b) Р(X 2 4.6) (с) Р(\X| > 3) (d) Р(\X — 5| > 3)
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- A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Determine fxy(X=3,Y=4).Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.(!) In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade of A. In the afternoon section, 6 of the 9 women and 9 of the 14 men receive A. Verify that, in each section, a higher proportion of women than of men receive A, but that, in the combined course, a lower proportion of women than of men receive A. Explain!
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