MATH 1550H Quiz: MATH1550H-Quiz-Solutions
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[1. 5: let e be the event that an odd number of heads came up in the experiment. Just for the heck of it, here is the tree diagram for this experiment: [1. 5: let x count the total number of tosses made in the experiment. = { hh, t t, ht h, t ht, ht t h, t hht, ht t t h, t hhht, . (cid:3: p(hh) = p (t t ) = 1. 4 , p(ht h) = p(t ht ) = 1. 2 1 p(cid:0)ht kh(cid:1) = p(cid:0)t h kt(cid:1) = (cid:0) 1: (the nite way. ) P (x 5) = 1 p (x < 5) = 1 [p (x = 2) + p (x = 3) + p (x 4)] = 1 [p(hh) + p(t t ) + p(ht h) + p(t ht ) + p(ht t h) + p(t hht )] Here goes, with the help of the summation formula for geometric series:
