Page 162 - Math Grade 12 (Advance)
P. 162
PROEUS DARA
2. l!H1.Jl Sl P(X < 6)
P(X<6) = P(X=O)+P(X= l)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
0 10
rn P(X = 0) = C(JO, 0) x (0.2) (0.8) = 0.1074
P(X = 4) = C(lO, 4) x (0.2)\0.8/ = 0.0881
5 5
P(X = 5) = C(l 0, 5) x (0.2 ) (0.8 ) = 0.0264
P(X < 6) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 + 0.0264
= 0.9936
tjtHSg P(X<6) =0.9936 '1
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Bin(n, p) twill n = 12 Sw p = 80 %= 0. 8
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HSr:i'i:3Stjbn.Hn~tiL(lti P(X=x) = C(l2, x)x(0.8) (0.2) , x = 0, 1, 2, ... ,12
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U::llru E(X) = np = 12x0.8 = 9.6 &S1Hr:i1Jl~li5nnt~ X= 9, 10, 11 '1
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9 3
P(X = 9) = C( 12, 9) X (0.8) (0.2) = 0.2362
10 2 0
P(X = 10) = C(12, 10) x (0.8) (0.2) = 0.2834 ( tsctltltr:i )
11 1
P(X= 11) = C(l2, 1l)x(0.8) (0.2) = 0.2061
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