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A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).
- a)0.25
- b)0.3012
- c)0.12
- d)0.03
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A car hire firm has 2 cars which is hired out everyday. The number of ...
Given information:
- There are 2 cars available for hire every day.
- The number of demands per day for a car follows a Poisson distribution with a mean of 1.20.
- e1.20 = 3.32
To find:
- The proportion of days on which some demand is refused.
Solution:
- We can use the Poisson distribution formula to calculate the probability of getting 0 demands per day:
P(X=0) = (e^(-λ) * λ^0) / 0! = e^(-λ) = e^(-1.20) = 0.3012 (using the given e1.20 value)
- The probability of getting at least 1 demand per day is:
P(X≥1) = 1 - P(X=0) = 1 - 0.3012 = 0.6988
- This means that on 69.88% of days, at least one demand is made.
- Therefore, the proportion of days on which some demand is refused is:
1 - 0.6988 = 0.3012
- This is the same as the probability of getting 0 demands per day.
Answer:
The proportion of days on which some demand is refused is 0.03 (option D).
- There are 2 cars available for hire every day.
- The number of demands per day for a car follows a Poisson distribution with a mean of 1.20.
- e1.20 = 3.32
To find:
- The proportion of days on which some demand is refused.
Solution:
- We can use the Poisson distribution formula to calculate the probability of getting 0 demands per day:
P(X=0) = (e^(-λ) * λ^0) / 0! = e^(-λ) = e^(-1.20) = 0.3012 (using the given e1.20 value)
- The probability of getting at least 1 demand per day is:
P(X≥1) = 1 - P(X=0) = 1 - 0.3012 = 0.6988
- This means that on 69.88% of days, at least one demand is made.
- Therefore, the proportion of days on which some demand is refused is:
1 - 0.6988 = 0.3012
- This is the same as the probability of getting 0 demands per day.
Answer:
The proportion of days on which some demand is refused is 0.03 (option D).
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A car hire firm has 2 cars which is hired out everyday. The number of ...
Book option is wrong. correct option is c) 0.12
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A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer?
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A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer?.
A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused? (Given e 1.20 = 3.32).a)0.25b)0.3012c)0.12d)0.03Correct answer is option 'D'. Can you explain this answer?.
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