You have a ruler of length 2 and you choose a place to break it using a uniform probability distribution. let random variable x represent the length of the left piece of the ruler. x is distributed uniformly in [0,2] . you take the left piece of the ruler and once again choose a place to break it using a uniform probability distribution. let random variable y be the length of the left piece from the second break. draw a picture of the region in the x-y plane for which the joint density of x and y is non-zero.

What is the quotient of 42/3 divided by 4 1/5

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution