2. (For this problem, leave your answers in Combinatorics format – do NOT simplify). A conference is being held that faculty members from the IST department have been invited. There are 23 female and 19 male faculty members. Six members are randomly selected. What is the probability that

Follows are the solution to this question:

Step-by-step explanation:

please find the complete question in the attached file.

female = 23  and male = 19 faculty members

Randomly selected member are = 6

In point 1:

The Probability to equally selecting men and women:

In point 2:

The Probability of selecting at least 4 men:

In point 3:

The probability in which no women are chosen implies that 6 selected members are from 23 women:

In point 4:

The Probability in which no more than 4 women are selected:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl