LET L be a set in three - dimensional space and let LIL'I be equal to the Volume of' `. if I has finite* volume . otherwise , let !It's be undefined...
Please help me solve those questions, the questions are shown in the attachments (6, 7, 8)
5. LET L be a set in three - dimensional space and let LIL'I be equal to the Volume of' `. if I has finite*volume . otherwise , let !It's be undefined . Find Fizi .7 . For every one - dimensional set !' for which the integral exists . Citi = To fluid , where flaj -Gril - Il, O _ _ _ I, zero elsewhere ; otherwise , let fic"; he undefined . Find Dic").16 ) [ 2 = 1 1 / 2) .8. Suppose the experiment is to choose a real number at random in the interval 10 . 1 1 . For any subinterval` , ` ) CID, I), it seems reasonable to assign the probablybability ?" [`, ``] = 6 - a; Le, the probability ofselectin the point from the subinterval is directly proportional to the length of the subinterval . If thisis the case . choose an appropriate sequence of subintervals to shoe that Fall = " For all at 10. 1] .Hint : let It be a decreasing sequence of events , as in Question ? , then lim ,_ ta Pie! ! =Pllimn_ too Caj = Pill _; Cal
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