Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >  The number of cars arriving at ICICI bank dri... Start Learning for Free
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?
Verified Answer
The number of cars arriving at ICICI bank drive-in window during 10-mi...
Evaluate P(x = 0)
View all questions of this test
Most Upvoted Answer
The number of cars arriving at ICICI bank drive-in window during 10-mi...
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'.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev