Answer:
a) 



After addition we obtained:

b) 
Upon substitution we received:
![P(X \geq 2)= =1-[0.00049 +0.0054] = 0.994](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%202%29%3D%20%3D1-%5B0.00049%20%2B0.0054%5D%20%3D%200.994)
c) 
Following our substitution we calculated:

Explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution summarizing the likelihood that a variable will assume one of two independent outcomes under specified parameters. Assumptions for this distribution include that each trial produces a single outcome, all trials maintain the same probability of success, and trials are mutually exclusive, or independent of one another".
Problem solution
Let X signify the random variable of interest "number of women"; in this scenario, we know that:
The probability mass function for the Binomial distribution is expressed as:
Where (nCx) represents combinations and is given by this formula:
In Part a
In this instance, we seek to identify this probability:




After addition we obtained:

In Part b
For this scenario we aim for this probability:

Utilizing the complement rule, we arrive at:

After substitution we arrived at:
![P(X \geq 2)= =1-[0.00049 +0.0054] = 0.994](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%202%29%3D%20%3D1-%5B0.00049%20%2B0.0054%5D%20%3D%200.994)
In Part c
In this instance, we are looking for this probability:

Applying the complement rule yields:

After substitution, we computed:
