write my assignment 11011

Please help me solve those questions, the questions are shown in the attachments (6, 7, 8)

• Attachment 1
• Attachment 2

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