STAT 400 Midterm: STAT400 BOYLE-M FALL2003 0101 MID EXAM 1

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 400
• Professor: All

Document Summary

No books, no notes, no calculators, no cell phones or electronic devices. Put a box around the nal answer to a question. Do not complete complicated arithmetic computations (save time! ); just set them up clearly: (15 points) suppose a bowl contains 20 red balls and 30 green balls and 10 are chosen randomly. [no proof required. : (15 points) the radius r of a circle is chosen randomly from [0, 1] (i. e. , the random variable r has uniform distribution on [0, 1]). ******* there are more questions on the back side ******* Typeset by ams-tex: (20 points) answer true or false (no supporting argument needed). (a) suppose x has uniform distribution on [0, 4] and y has uniform distribution on [0, 1]. Then the standard deviation of x is 4 times the standard deviation of y . (b) prob[ 3 < x < + 3 ] 8/9, for any r. v.