In a certain town, 47% of adults have a college degree. Suppose we take a random sample of 10 adults having a college degree.

X p(x)

0 0.0017

1 0.0155

2 0.0619

3 0.1464

4 0.2271

5 0.2417

6 0.1786

7 0.0905

8 0.0301

9 0.0059

10 0.0006

a) Find the probability that the sample contains at most 3 adults have a college degree. Answer four decimal place

B) Find the probability that the sample contains at least 4 adults have a college degree. Answer four decimal place

c) Find the probability that the sample contains less than 6 adults have a college degree. Answer four decimal place