You are going from College (Point A) to some distant eastern part of Hyderabad (Point B) which is 25 kms away. While your friend starts from (Point B) towards (Point A) with the goal of meeting you. Both of you travel at 50 km/h towards each other. Both your starting time is truly random and uniformly distributed from 1 pm to 2 pm and both your starting time is independent of each other. Let the random variable X denote the distance between college and the point where both of you meet. Find FX i.e. P ( X ≤ x )
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
You are going from College (Point A) to some distant eastern part of Hyderabad (Point B) which is 25 kms away. While your friend starts from (Point B) towards (Point A) with the goal of meeting you. Both of you travel at 50 km/h towards each other. Both your starting time is truly random and uniformly distributed
from 1 pm to 2 pm and both your starting time is independent of each other. Let the random variable X denote the distance between college and the point where both of you meet. Find FX i.e. P ( X ≤ x ) .
Step by step
Solved in 2 steps with 1 images