A committee of size 10 is selected at random from 14 professional people and 8 are non-professional people. what is the probability that;

a) Exactly 6 members of the committee are professional people?

b) No more than 3 members of the committee are professional people.

Could I use the binomial distribution on this question?

x = number of professionals in a committe of 10 people. X ~(10, 14/22)

a) p(x=6)