Ten-eggs-are-picked-at-random-without-replacement-from-a-lot-containing-20-defective-eggs-Find-the-probability-that-there-are-at-least-four-defective-eggs-

Question Number 153626 by otchereabdullai@gmail.com last updated on 08/Sep/21

Ten eggs are picked at random without

replacement from a lot containing

20 % defective eggs .

Find the probability that there are

at least four defective eggs

Answered by mr W last updated on 08/Sep/21

x d e f e c t i v e e q q s : C_{x}^{10} 0 . 2^{x} 0 . 8^{10 - x}

p = 1 - \underset{x = 0}{\sum^{3}} C_{x}^{10} 0 . 2^{x} 0 . 8^{10 - x}

= 1 - 1 \times 0 . 2^{0} \times 0 . 8^{10} - 10 \times 0.2 \times 0 . 8^{9} - 45 \times 0 . 2^{2} \times 0 . 8^{8} - 120 \times 0 . 2^{3} \times 0 . 8^{7}

= 0.12

Commented by otchereabdullai@gmail.com last updated on 08/Sep/21

God bless you a lot prof

Commented by puissant last updated on 08/Sep/21

S i r M r W y o u a r e a t e a c h e r . . ? ?

Commented by mr W last updated on 08/Sep/21

n o, i^{'} m n o t a t e a c h e r .

Commented by puissant last updated on 08/Sep/21

O k e y