X: number of failures due to operator error. P=0.3 , n=20 . πΏ~π©πππππππ (ππ, π. π)Β
π(π) = Cππ,π (π. π) π (π. π) ππβπ ; π = π, π, π, β¦ , ππ
a) π(π β₯ 10) = 1 β π(π < 9) = 0.048
b) π(π β€ 4) = π(1) + π(2) + π(3) + π(4) = 0.2375
c) π(π = 5) = 0.1789 β 18% , NOΒ
Tha 30% is an incorrect percentage of operator errors. It's just that in this sample, the number of actual errors was less than the number of expected errors (which is 30% x 20, or 6 errors).
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