A chairman is biased so that he selects his relatives for a job 3 times as likely as others. If
there are 3 posts for a job. Find the probability distribution for selection of persons other than
their relatives.
To find the probability distribution for the selection of persons other than the chairman's relatives, we need to consider the following information:
1. The total number of candidates for the job.
2. The probability of selecting a non-relative candidate.
Let's break down the problem step by step:
Step 1: Determine the probability of selecting a non-relative candidate.
Since the chairman selects his relatives three times more likely than others, this means that the probability of selecting a non-relative candidate is 1/4 (or 25%).
Step 2: Calculate the probability distribution for selecting persons other than relatives.
To find the probability distribution, we need to consider the number of posts available for the job. Let's assume there are three posts.
For each post, there are two possible outcomes: selecting a relative or selecting a non-relative. Since the probability of selecting a non-relative candidate is 1/4 (25%), the probability of selecting a relative candidate is 3/4 (75%).
Now, we can calculate the probability distribution for each outcome:
- Probability of selecting a non-relative candidate (PrNonRelative):
PrNonRelative = 1/4 = 0.25
- Probability of selecting a relative candidate (PrRelative):
PrRelative = 3/4 = 0.75
- Probability distribution for each post:
Let's assume the posts are labeled as Post 1, Post 2, and Post 3.
For Post 1:
PrNonRelative = 1/4 = 0.25
PrRelative = 3/4 = 0.75
For Post 2:
PrNonRelative = 1/4 = 0.25
PrRelative = 3/4 = 0.75
For Post 3:
PrNonRelative = 1/4 = 0.25
PrRelative = 3/4 = 0.75
Hence, the probability distribution for the selection of persons other than the chairman's relatives is:
Post 1: PrNonRelative = 0.25, PrRelative = 0.75
Post 2: PrNonRelative = 0.25, PrRelative = 0.75
Post 3: PrNonRelative = 0.25, PrRelative = 0.75