Answer:
a)
b)
c) P(X=6)=0
d) P(X=9)=0
Step-by-step explanation:
We know that are 4 men and 6 women are ranked according to their scores on an exam. X = 1 indicates that a man achieved the highest score on the exam.
a) We calculate P(X=2).
We calculate the number of possible combinations
We calculate the number of favorable combinations
We get that is
b) We calculate P(X=3).
We calculate the number of possible combinations
We calculate the number of favorable combinations
We get that is
c) We calculate P(X=6). This case is not possible because 6 men cannot be selected because we have been given 4 men.
We conclude P(X=6)=0.
d) We calculate P(X=9). This case is not possible because 9 men cannot be selected because we have been given 4 men.
We conclude P(X=9)=0.