Exam 3 - December 2, 2010 Math 351 - Test 3 1. An urn has...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
December 2, 2010 Math 351 - Test 3 1. An urn has two black and one white ball. An experiment consists of taking two balls from the urn. Call it “success” if both of them are black and call it “failure” if they are not both black. After you have chosen the two balls, put them back in the urn and then repeat. Let X be the number of trials to the first success and let Y be the the number trials to the fifth success. (a) Calculate p , the probability of success on any one trial. (b) What kind of random variable is X ? What kind of random variable is Y ? (c) What is the expected value of X ? (d) What is P { Y = 10 } ? 2. Consider a horizontal line segment of total length 15 inches. Fix a point P along the line segment at a distance 3 from the right side. Let X be a randomly chosen point along the line segment such that X is uniformly distributed. Let Y be the distance from X to P if X is to the right of P and let Y be 12 if X is to the left of P . Write down the expression (in terms
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Exam 3 - December 2, 2010 Math 351 - Test 3 1. An urn has...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online