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:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have