Suppose that scores of the entrance exam of MPI are normally distributed with mean 500 and standard deviation 100. A class of 25 candidates, was invigilated by me last weekend for the entrance exam of MPI 2021. Suppose that candidates in my class are randomly assigned, find the probability that the average score of that class will be no more than 535. *(no use EXCEL)
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!
Suppose that scores of the entrance exam of MPI are
Step by step
Solved in 2 steps with 2 images
