Participants from a day-long conference choose from 2 lunch specials: Sirloin tips $10 or Spinach lasagna $5 and from 3 dinner specials: Lobster $25, Crab legs $20, or Thai Stir-fried vegetables $10. For a randomly selected participant, the joint probability distribution p(x; y) for X = the cost of lunch and Y = the cost of dinner is given by p(x; y) : XnY $10 $20 $25 $5 0:30 0:20 0:10 $10 0:20 0:10 0:10 (a) (5 points) Find the marginal probability density functions pX(x) and pY (y) for X and for Y .

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.