Name: Probability and Probability Distributions
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IGNOU MST-12 (January 2026 – December 2026) Assignment Questions

1. (a) Suppose two friends Anjali and Prabhat trying to meet for a date to have lunch say between 1 pm to 2 pm. Suppose they follow the following rules for this meeting:

• Each of them will arrive either on time or 10 minutes late or 20 minutes late or 30 minutes late or 40 minutes late or 50 minutes late or 1 hour late. All these arrival times are equally likely for both of them.

• Whoever of them reaches first will wait for the other to meet only for 10 minutes. If within 10 minutes the other does not reach, he/she leaves the place and they will not meet.

Find the probability of their meeting

(b) Solve the problem in part (a) simply by replacing 10 minutes by 5 minutes all other things are the same.

2. In an election there are two candidates. Being a statistician, you are interested in predicting the result of the election. So, you plan to conduct a survey. Using the learning skill of this course answer the following question. How many people should be surveyed to be at least 95% sure that the estimate is within 0.05 of the true value?

3. Explain the procedure of assigning probability in the discrete world of probability theory

IGNOU MST-12 (January 2025 – December 2025) Assignment Questions

1. (a) Suppose two friends Anjali and Prabhat trying to meet for a date to have lunch say between 2 pm to 3 pm. Suppose they follow the following rules for this meeting:

• Each of them will reach either on time or 10 minutes late or 20 minutes late or 30 minutes late or 40 minutes late or 50 minutes late or 1 hour late. All these arrival times are equally likely for both of them.
• Whoever of them reaches first will wait for the other to meet only for 10 minutes. If within 10 minutes the other does not reach, he/she leaves the place and they will not meet.
Find the probability of their meeting.

(b) In the study learning material (SLM), you have seen many situations where Poisson distribution is suitable and discussed some examples of such situations. Create your own example for a situation other than those that are discussed in SLM. If you denote your created random variable by X then find the probability that X is less than 2.

2. In an election there are two candidates. Being a statistician, you are interested in predicting the result of the election. So, you plan to conduct a survey. Using the learning skill of this course answer the following question. How many people should be surveyed to be at least 90% sure that the estimate is within 0.03 of the true value?

3. Explain the procedure of assigning probability in the discrete world of probability theory.

4. If X ~ Gamma , and Y ~ Gamma , (θ α) (θ β) be two independent gamma distributions and then find the distribution of U.

MST-12 Assignments Details

University	:	IGNOU (Indira Gandhi National Open University)
Title	:	Probability and Probability Distributions
Language(s)	:	English
Code	:	MST-12
Degree	:	MSCAST
Subject	:	Applied Statistics
Course	:	Core Courses (CC)
Author	:	Gullybaba.com Panel
Publisher	:	Gullybaba Publishing House Pvt. Ltd.

IGNOU MST-12 (Jan 25 - Dec 25) - Solved Assignment

Are you looking to download a PDF soft copy of the Solved Assignment MST-12 – Probability and Probability Distributions Then GullyBaba is the right place for you. We have the Assignment available in Urdu language. This particular Assignment references the syllabus chosen for the subject of English, for the Jan 25 - Dec 25 session. The code for the assignment is MST-12 and it is often used by students who are enrolled in the IGNOU Solved Assignments, MSCAST Degree. Once students have paid for the Assignment, they can Instantly Download to their PC, Laptop or Mobile Devices in soft copy as a PDF format. After studying the contents of this Assignment, students will have a better grasp of the subject and will be able to prepare for their upcoming tests.