Among the N=18 advisory board members of an education program, A=12 are university ...

  

Among the N=18 advisory board members of an education program, A=12 are university faculty members and the other N-6=6 are business managers. A random sample of n=6 advisory members is going to be selected. Use X to denote the number of advisory members who are university faculty members. (Keep 4 decimal digits). 

1. The probability that exactly 5 advisory board members are university faculty members is closest to...

a. .0498

b. .2370

c. .2560

d. .3058

2. The probability that all 6 advisory members are university faculty members is closest to...

a. .0498

b. .2370

c. .2560

d. .3058

3. The probability that at least 5 advisory members are university faculty members is closest to...

a. .0498

b. .2370

c. .2560

d. .3058

4. The probability that at most 4 advisory members are university faculty members is closest to...

a. .6942

b. .3058

c. .0498

d. .0409