5. (Sec. 5.1) Suppose the marginal pdfs of two independent rvs X and Y are given by 5x4 for 0 |0 otherwise 1 fx(r) 2y3for 0y


5. (Sec. 5.1) Suppose the marginal pdfs of two independent rvs X and Y are given by<br>5x4 for 0<br>|0 otherwise<br>1<br>fx(r)<br>2y3for 0y <1<br>|0 otherwise<br>fy(y)<br>(a) Find the joint pdf of X and Y<br>(b) What is the probability that both X and Y are greater than .5?<br>(c) What is the probability that at least one of X or Y is greater than .5?<br>

Extracted text: 5. (Sec. 5.1) Suppose the marginal pdfs of two independent rvs X and Y are given by 5x4 for 0 |0 otherwise 1 fx(r) 2y3for 0y <1 |0="" otherwise="" fy(y)="" (a)="" find="" the="" joint="" pdf="" of="" x="" and="" y="" (b)="" what="" is="" the="" probability="" that="" both="" x="" and="" y="" are="" greater="" than="" .5?="" (c)="" what="" is="" the="" probability="" that="" at="" least="" one="" of="" x="" or="" y="" is="" greater="" than="">

Jun 03, 2022
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