Answer:
0.0881
Step-by-step explanation:
This is binomial distribution probability that can be solve using the formula:
[tex]P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}[/tex]
Where n is total number of trials [here it is 10]
x is what we want to find [here, we want for 6 patients, so x = 6]
p is probability of success [p = 0.8]
q is probability of failure [ 1 - p = q = 0.2]
Substituting, we get:
[tex]P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}\\P(x=6)=\frac{10!}{(10-6)!6!}(0.8)^{6}(0.2)^{5}\\P(x=6)=0.0881[/tex]
