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Statistics - Assignment 3

Statistics - Assignment 3 - Assignment 3 Due date 21...

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Assignment 3 Due date: 21 October 2009 Total number of points: 32 Q 1. A medical research team wished to evaluate a proposed screening test for Alzheimer’s disease. The test was given to a random sample of 450 patients with Alzheimer’s disease, in 436 cases the test result was positive. Also, the test was given to a random sample of 500 patients without the disease, only in 5 cases the result was positive. It is known that in the US 11.3% of the population aged 65 and over have Alzheimer’s disease. Find the probability that a person has the disease given that the test was positive. Q 2. (3.43) A certain drug causes kidney damage in 1% of patients. Suppose the drug is to be tested on 50 patients. Find the probability that (a) none of the patients will experience kidney damage; (b) one or more of the patients will experience kidney damage. Check your answers using MINITAB. Q 3. Assume X ∼ N (5 , 4 2 ). Determine the following: (a) P ( X < 11) (b) P ( X > 0) (c) P (3 < X < 7) (d) P ( - 2 < X < 9) (e) P (2 < X < 8) Check your answers using MINITAB.
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