Annie and alvie have agreed to meet between 5: 00 p. m. and 6: 00 p. m. for dinner at a local health-food restaurant. let x = annie’s arrival time and y = alvie’s arrival time. suppose x and y are independent with each uniformly distributed on the interval [5, 6].

a. what is the joint pdf of x and y?
b. what is the probability that they both arrive between 5: 15 and 5: 45?
c. if the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [hint: the event of interest is a= [(x, y): |x−y| ≤ 1/3] (round your answer to three decimal places.)

Do u just plot the numbers on the graph like (1,

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

(x-5)1/2+5=2 what is possible solution of this equation