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Tcecarenko [31]
3 years ago
8

PLEASE HELP!!!! 25 POINTS!!!!

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

0.9562

Step-by-step explanation:

Binomial probability is mathematically expressed as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Given that p=0.18, n=5 ,  is calculated as:

P(X\leq 2)=P(0)+P(1)+P(2)\\\\={5\choose 0}0.18^0(1-0.18)^5+{5\choose 1}0.18^1(1-0.18)^4+{5\choose 2}0.18^2(1-0.18)^3\\\\=0.3707+0.4069+0.1786\\\\=0.9562

Hence, the probability of no more than 2 successes in 5 trials is 0.9562

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