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ws, , at, Shan,, Ing cop tdom, on of catching © cold on a rainy day If 4, hen tity day, find probability that th, , PASS a test ie 40%. Out of, , , , , , , , , , , , , , , , , , , , , , , , , , , , 46> r 2 pass (ii) n, It is Claimed ,, random, ¢ dn y 4 ;, 214i) none (;, aac — if Se, 03456. 0.0775..." oe a a, Miatem=s.,- 5, 703178, im r=2, Probability ca :, ) 7=0. Probabitit, cae (0.6) = 0.3456, GH) r= 5, Probability Coat 0.0778, iw) r Probability (7 6)" = 0.0102, , , , - . 3 or 4 or 5), , © 4) « 0.6) + °C, (0.4)$ x (0.6), , = 0.2304, 0.0768 + 0.0102 = 0.3174, , WW Eighty percent of students from T.Y.B.Com. select Tax, @g70up of 6 T.Y.B.Com students is ‘elected at random , f, m0. of students with tax as optional subject is (i) only 4 (ii), ity) fewer than 3, , ae0.2458. 0.0169, 0.000064, 0.0170, , ©) A biased coin turns head 3 out of 5 times, Find probability, throws, it shows head (i) 4 times (ii) at least 5 times (iii) only once, Most once,, , 70.2903, 0.4199, 0.0172, 0.0188, Hint =n =7, p = 3/5 =0.6,q= 0.4, 1) r=4, Probability = 7C, (0.6)! * (0.4)* = 0.2903, fi) r>5, Probability (r = 5) + Probability (7 ) ' Probability A, =1C, (0,6)5 (0.4)? + 7C, (0.6)° * (0.4) + Cy (0.6) (04), = 0.2613 + 0,1306 + 0.0280 = 0.4199, r= 1, Probability = 7C (0.6) (0.4)° = 0.0172, "<1, Probability (r = 0) + Probability i 1), =1G, (0.6)9 x (0.4)! + 7C, (0.6) * (0.4)", ~ 0.0016 + 0.0172 = 0.0188, , , , , , , , , , 5C. (0.4), , , , , , , , , (iii), {ivy, , b nex’