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M362K Sample Test 4A

# M362K Sample Test 4A - M362K Sample Test 4A Dr Gary Berg...

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M362K Sample Test 4A Dr. Gary Berg All problems are worth eight points. Do sixteen of the eighteen problems. Clearly mark the problems to be omitted. Show your work. 1) How many different letter arrangements can be made from the letters a) propose; b) Mississippi? 2) Let E , F , and G be three events. Find expressions for the events so that of E , F , and G : a) both E and G but not F occur: b) at most one of them occurs. 3) A laboratory blood test is 95 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a “false positive” result for 1 percent of the healthy persons tested. If 0.5 percent of the population actually has the disease, what is the probability a person has the disease given that the test result is positive? 4) If P ( A ) > 0 , show that P ( A B | A ) P ( A B | A B ) . 5) Calculate Var( X ) if X represents the outcome when a fair die is rolled. 6) A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample.

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M362K Sample Test 4A - M362K Sample Test 4A Dr Gary Berg...

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