by rahul_tech@outlook.com | Feb 17, 2024 | CALCULUS
5 Basic Problems on Limits just to refresh your mind. Problem 1 Find the limit: \( \lim_{x \to 2} (3x – 4) \) Solution: To solve this limit, we substitute the value of \(x\) directly because the function is continuous at \(x = 2\). \[ \lim_{x \to 2} (3x –...
by Rahul Anand | Jul 21, 2023 | PROBABILITY
The multiplication rule in probability is used to find the probability of the intersection of two or more independent events. In other words, it helps us calculate the probability of both event A and event B happening or the probability of multiple events occurring...
by Rahul Anand | Jul 21, 2023 | PROBABILITY
The addition rule in probability deals with finding the probability of the union of two or more events. In simpler terms, it helps us calculate the probability of either event A happening, event B happening, or both occurring.For two events A and B, the addition rule...
by Rahul Anand | Jul 14, 2023 | PROBLEMS IN MATHEMATICS
In this problem, the diameter of the aerosol particles is a continuous random variable that is uniformly distributed between 2 and 6 nanometers. This means that all values between 2 and 6 are equally likely. In this situation, our Random Variable X is a Uniform...
by Rahul Anand | Jul 13, 2023 | INFO
Random Phenomena refer to events or processes that occur unpredictably or without a discernible pattern. They are characterized by outcomes that cannot be precisely determined or predicted in advance based on available information or knowledge. Random phenomena often...