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Hello everyone, there is a question given.
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Suppose x and y are two discrete random variable whose joint probability density function p x.
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Y is equal to p x equal to x and y equal to y.
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And we have given a table and according to that table we have to answer some question.
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See the solution.
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See the solution.
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We have given a table.
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First of all, i am dying the table.
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This is our table in which we have given x equal to x means.
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Capital x equal to small x capital x equal to small x here value of x and y given see 0 1 2 3 okay here minus 2 minus 1 then 1 then 2 okay and the values are 0 .1 0 .07 0 .1 0 0 0 .1 0 0 0 .1 0 0 0 .1 0 0 0 0 0 .1 0 0 0 .1 0 0 0 .1 0 0.
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0 .0 .05, 0 .05, 0 .05, 0 .01, 0 .04, and here, 0 .03.
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And in this, 0 .05, 0 .07, 0 .07, 0 .02.
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And here, all are 0 .2.
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0 .2, 0 .2, 0 .2, 0 .2, 0 .2.
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0 .2.
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0.
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2.
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2.
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2 .2.
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Okay, now, here p, y equal to y are given, that is 0 .27, 0 .17, and 0 .12, and 0 .14.
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Now, we have to answer some question, okay? in first question, we have asked the probability that x less than equal to 2 and y greater, sorry, y less than equal to 1.
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Okay.
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See, in first question, we have asked probability that, that x less than equal to 2 and y less than equal to 1 is okay so probability x less than equal to 2 and y less than equal to 1 is 0 .1 plus 0 .05 plus 0 plus 0 .1 plus 0 .1 plus 0 .1 plus 0 .1.
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So answer is sorry and here plus 0 .07 plus 0 .07 plus 0 .7 plus 0...