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Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.
Correct answer is '2.4 to 2.6'. Can you explain this answer?
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Passengers try repeatedly to get a seat reservation in any train runni...
Let ‘X’ is a random variable which takes number of attempts
Given probability of any attempts to be successful,
∴ Average number of attempts that passengers need to make to get seat reserved is ‘2.5’
Given probability of any attempts to be successful,
∴ Average number of attempts that passengers need to make to get seat reserved is ‘2.5’
Most Upvoted Answer
Passengers try repeatedly to get a seat reservation in any train runni...
Solution:
The problem can be modeled as a geometric distribution where the probability of success (getting a seat reservation) is p = 0.40.
The formula for the expected number of trials required to get the first success in a geometric distribution is given by:
E(X) = 1/p
Substituting the value of p, we get:
E(X) = 1/0.40 = 2.5
Therefore, on average, passengers need to make 2.5 attempts to get a seat reserved. However, since the number of attempts is a discrete variable, we can round off the answer to the nearest integer.
Hence, the average number of attempts that passengers need to make to get a seat reserved is between 2.4 to 2.6.
Summary:
- The problem can be modeled as a geometric distribution.
- The probability of success (getting a seat reservation) is p = 0.40.
- The formula for the expected number of trials required to get the first success in a geometric distribution is E(X) = 1/p.
- Substituting the value of p, we get E(X) = 1/0.40 = 2.5.
- The average number of attempts that passengers need to make to get a seat reserved is between 2.4 to 2.6.
The problem can be modeled as a geometric distribution where the probability of success (getting a seat reservation) is p = 0.40.
The formula for the expected number of trials required to get the first success in a geometric distribution is given by:
E(X) = 1/p
Substituting the value of p, we get:
E(X) = 1/0.40 = 2.5
Therefore, on average, passengers need to make 2.5 attempts to get a seat reserved. However, since the number of attempts is a discrete variable, we can round off the answer to the nearest integer.
Hence, the average number of attempts that passengers need to make to get a seat reserved is between 2.4 to 2.6.
Summary:
- The problem can be modeled as a geometric distribution.
- The probability of success (getting a seat reservation) is p = 0.40.
- The formula for the expected number of trials required to get the first success in a geometric distribution is E(X) = 1/p.
- Substituting the value of p, we get E(X) = 1/0.40 = 2.5.
- The average number of attempts that passengers need to make to get a seat reserved is between 2.4 to 2.6.
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Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer?
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Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer?.
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.Correct answer is '2.4 to 2.6'. Can you explain this answer?.
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