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st371ss08mt1

# st371ss08mt1 - ST371 Tom Gerig 1 ST371 Midterm Examination...

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ST371 Tom Gerig 1 ST371 Midterm Examination I May 29, 2008 Closed books and notes. You may use one page of notes (8½ by 11, both sides, any content). You will need a calculator. NAME: ____________________________________ Row #: _____________________________________ Before you turn in your examination, please sign and date below to acknowledge your compliance with the following pledge (from the NCSU Code of Academic Integrity) “I have neither given nor received unauthorized aid on this test or assignment” _____________________________________ _____________________ Signature Date

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ST371 Tom Gerig 2 1. Suppose that 1 1 ( ) and ( ) 4 8 P A P B = = . (a) Find the value of when ( P A B ) and A B are mutually exclusive (b) Find the value of when ( P A B ) and A B are independent 2. It is known that a patient with a certain disease will respond to a certain treatment with probability equal to 0.8. If three patients with the disease are treated and respond independently, find the probability that at least one will respond.