IGNOU MST012 Solved Assignment 2023  MSCAST
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IGNOU MST012 Assignment Question Paper 2023
 Each of them will reach either on time or 10 minutes late or 20 minutes late or
$\mathbf{3}\mathbf{0}$ $\mathbf{3}\mathbf{0}$ 30 \mathbf{3 0} 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.$\mathbf{3}\mathbf{0}$  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.
 Explain the procedure of assigning probability in a continuous world of probability theory.
(i) The number of patients who paid between Rs
(ii) The probability that a patient bill exceeds Rs
(iii) Maximum amount paid by the lowest paying onethird of patients.
MEV017 Sample Solution 2023
Question:01
 Each of them will reach either on time or 10 minutes late or 20 minutes late or
$\mathbf{3}\mathbf{0}$ $\mathbf{3}\mathbf{0}$ 30 \mathbf{3 0} 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.$\mathbf{3}\mathbf{0}$  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.
Introduction
Work/Calculations
Step 1: Define the Sample Space
Step 2: Identify Favorable Outcomes
 Both arrive at the same time: There are 7 such cases (0, 10, 20, 30, 40, 50, 60 minutes late).
 One arrives and the other arrives within the next 10 minutes: For example, if Anjali arrives 10 minutes late, Prabhat can arrive either on time or 20 minutes late for them to meet.
 For a time difference of 0 minutes, there are 7 cases.
 For a time difference of 10 minutes, there are 6 cases for Anjali arriving first and 6 for Prabhat arriving first, making it 12 cases.
Step 3: Calculate the Probability
Conclusion
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