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The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b = 2.
Que: The probability that no car will arrive is
- a)0.516
- b)0.459
- c)0.246
- d)0.135
Correct answer is option 'D'. Can you explain this answer?
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Poisson Distribution
The number of cars arriving at the ICICI bank drive-in window during a 10-minute period is modeled by a Poisson random variable X with a parameter (λ) of 2. The probability mass function of a Poisson random variable is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
Where:
- k is the number of cars arriving
- e is the base of the natural logarithm (approximately 2.71828)
- λ is the average number of cars arriving in the given time period
- k! is the factorial of k
In this case, we want to find the probability that no car will arrive (k = 0).
Calculating the Probability
Let's substitute the values into the probability mass function:
P(X = 0) = (e^(-2) * 2^0) / 0!
Since 0! equals 1, the equation simplifies to:
P(X = 0) = e^(-2)
Now we need to calculate the value of e^(-2). Using a calculator, we find that e^(-2) is approximately 0.135.
Therefore, the probability that no car will arrive at the ICICI bank drive-in window during a 10-minute period is 0.135, which corresponds to option 'D'.
The number of cars arriving at the ICICI bank drive-in window during a 10-minute period is modeled by a Poisson random variable X with a parameter (λ) of 2. The probability mass function of a Poisson random variable is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
Where:
- k is the number of cars arriving
- e is the base of the natural logarithm (approximately 2.71828)
- λ is the average number of cars arriving in the given time period
- k! is the factorial of k
In this case, we want to find the probability that no car will arrive (k = 0).
Calculating the Probability
Let's substitute the values into the probability mass function:
P(X = 0) = (e^(-2) * 2^0) / 0!
Since 0! equals 1, the equation simplifies to:
P(X = 0) = e^(-2)
Now we need to calculate the value of e^(-2). Using a calculator, we find that e^(-2) is approximately 0.135.
Therefore, the probability that no car will arrive at the ICICI bank drive-in window during a 10-minute period is 0.135, which corresponds to option 'D'.
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The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b = 2.Que:The probability that no car will arrive isa)0.516b)0.459c)0.246d)0.135Correct answer is option 'D'. Can you explain this answer?
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The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b = 2.Que:The probability that no car will arrive isa)0.516b)0.459c)0.246d)0.135Correct answer is option 'D'. 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 The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b = 2.Que:The probability that no car will arrive isa)0.516b)0.459c)0.246d)0.135Correct answer is option 'D'. 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 The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b = 2.Que:The probability that no car will arrive isa)0.516b)0.459c)0.246d)0.135Correct answer is option 'D'. Can you explain this answer?.
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