1. The speed of transfer from a server on a campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 60 kilobits per second and standard deviation of 10 kilobits per second. Predict a) The probability that the file will transfer at a speed of less than 70 kilobits per second. (b) Between 70 and 80 kilobits per second. (c) Above 70 kilobits (d) Less than 60 kilobits (e) More than 60 kilobits (f) Less than 50 kilobits.
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!
Step by step
Solved in 2 steps with 2 images
