4 men and 6 women are ranked according to their scores on an exam. Assume that no two scores are alike, and that all 10! 10 ! possible rankings are equally likely. Let X denote the highest ranking achieved by a man (so =1 X = 1 indicates that a man achieved the highest score on the exam). Find each of the following:
Find each of the following:
(a) P(X=2).
(b) P(P(X=3).
(c) P(P(X=6).
(d) P(P(X=9).

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.

true

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9