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Question Number 172099 by Mastermind last updated on 23/Jun/22

T h e p r o b a b i l i t y t h a t A b i o l a w i l l b e

l a t e t o o f f i c e o n a g i v e n d a y i s \frac{2}{5} . i n

a g i v e n w e e k o f s i x d a y s, f i n d t h e

1) p r o b a b i l i t y t h a t h e w i l l b e l a t e o f

o n l y 3 d a y s

2) n o t b e l a t e i n t h e w e e k

Answered by mr W last updated on 24/Jun/22

1)

p (3) = C_{3}^{6} {(\frac{2}{5})}^{3} {(1 - \frac{2}{5})}^{3} = 27 . 6 %

2)

p (0) = C_{0}^{6} {(\frac{2}{5})}^{0} {(1 - \frac{2}{5})}^{6} = 4 . 7 %

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