Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:
[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}[/tex]
Given that p=0.18, n=5 , is calculated as:
[tex]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[/tex]
Hence, the probability of no more than 2 successes in 5 trials is 0.9562
