Let Y1 and Y2 have the joint probability density function gi.pdf
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The document presents a joint probability density function for variables y1 and y2. It requests the calculation of the constant k to ensure the function represents a valid probability density function, as well as finding the probability P(y1 > 7, y2 < 21) rounded to four decimal places. The problem is purely mathematical in nature, focusing on statistical principles.
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Let Y1 and Y2 have the joint probability density function gi.pdf
- 1. Let Y1 and Y2 have the joint probability density function given by f(y1,y2)={k(1y2),0,0y1y21, elsewhere. (a) Find the value of k that makes this a probability density function. k= (b) Find P(Y18 7,Y221). (Round your answer to four decimal places.)