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Unformatted text preview: If a student correctly answers the rst question, the probability that she correctly answers the second question is 0.6. If she answered the rst question wrongly, then the probability she correctly answers the second question is 0.4. (a) Find the probability that she answers the second question correctly. (b) Given that she answers the second question correctly, nd the probability that she answered the rst question correctly. 6. 95% of parts produced by a machine in a day are within the required specication. In a given day, ten parts are randomly selected. Find the probability that (a) exactly 1 part is not within specication. (b) at least one part is within specication. (c) Let X denote the number of parts in the sample of 10 that are within specication. Find E ( X ) , E (2 X + 10) , V ar ( X ) and V ar (2 X + 10) . 1...
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 Winter '12
 Javid
 Addition, Mutually Exclusive

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