Answer:
0.0241 or 2.41%
Step-by-step explanation:
Since each customer has a 17% probability of ordering decaffeinated coffee, the probability of a customer ordering a coffee with caffeine is:
[tex]P(C) = 1-0.17 = 0.83[/tex]
If customers make their decisions independently, the probability that all 20 order a coffee with caffeine is:
[tex]P(X=20)=P(C)^{20}\\P(X=20) = 0.83^{20}=0.0241=2.41\%[/tex]
The probability is 0.0241 or 2.41%.
