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Discover Sophie Germain primes special prime numbers with unique properties. Learn about their relation to safe primes applications in cryptography and how to identify them using Python.
Conquer the CBSE Board Exams 2025 with our guide! Learn effective study strategies, time management tips, and overcome exam anxiety for success.
What is probability? Probability is a fundamental concept in mathematics and statistics that deals with the likelihood of an event occurring. It is a way to quantify uncertainty and make predictions based on available information. In simple terms, probability is a...
The multiplication rule in probability is used to find the probability of the intersection of two or more independent event
Addition Rule calculates the probability of one or more events occurring. For mutually exclusive events, add individual probabilities. For non-mutually exclusive events, add individual probabilities and subtract the probability of both events occurring.
Finding the Expected Value μ (mean) of Random Variable that has Poisson Distribution
In probability theory and statistics, λ (lambda) is a parameter used to represent the average rate or average number of events occurring in a fixed interval in the context of a Poisson distribution.
Derive the formula of Variance of the Poisson Distribution
Probability theory is a fascinating subject that has many applications in the real world. Understanding the basics of random variables and probability distributions is essential for anyone working in a field that deals with uncertainty. By mastering probability theory, you can make better decisions and improve your ability to analyze and interpret data.
Practical illustrations of Random Variables that we are exposed to in our daily life
Question What does it mean for one event 𝐶 to cause another event 𝐸 - for example, smoking (𝐶) to cause cancer (𝐸)? There is a long history in philosophy, statistics, and the sciences of trying to clearly analyze the concept of a cause. One tradition says that causes...
Solution We have A = (1,4), (2,3), (3,2), (4,1) B = (1,4), (2,4), (3,4), (4,4), (5,4), (6,4), (4,1), (4,2), (4,3), (4,5), (4,6) \( P(A|B) = \dfrac {P(A∩B)}{P(B)} \) \( A∩B = (1,4), (4,1) \) The sample space comprises of 6×6 = 36 eventsHence,\( P(A∩B) = \dfrac{2}{36} =...