STA 301 - HW05

STA 301 - HW05 - questions Stuart answers correctly....

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STA 301 – Applied Statistics Spring 2008, Section B Homework #5 Due Friday, February 29 Question 1 : (p. 73, #2.109) A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of guilty suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 1% of the time. If a suspect is selected from a group of people of whom only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent? Question 2 A brief multiple choice quiz has 2 questions. Each question has 5 possible choices, only one of which is correct. Stuart has not studied for the quiz, so he decides to guess (randomly) at each question. Let X be a random variable representing the number of
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Unformatted text preview: questions Stuart answers correctly. Construct the probability function, ( 29 x f . STA 301-B, Spring 2008 Homework 5 Page 2 of 3 Question 3 A discrete random variable X has the following probability function: ( 29 ( 29 { } 3 , 2 , 1 , , 1 + = x if x c x f (a) Find the value of c to make ( 29 x f a valid probability function. (b) Draw a probability histogram for ( 29 x f . STA 301-B, Spring 2008 Homework 5 Page 3 of 3 Question 4 (p. 89, #3.18 - modified) A continuous random variable X has the following density function: ( 29 ( 29 ( 29 5 , 2 , 1 27 2 + = x x x f . (a) Find ( 29 4 < X P . (b) Find ( 29 4 3 < X P . (c) Find ( 29 4 | 3 < X X P . (d) Find ( 29 6 3 < < X P ....
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STA 301 - HW05 - questions Stuart answers correctly....

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