Use the relative frequency distribution in the table below to determine the following. (See Example 1 in this section.) Download time (in seconds) Percent of Subscribers 0-5 0.4 5-10 1.7 10-15 4.3 15-20 8.2 20-25 15.1 25-30 19.4 30-35 19.0 35-40 14.9 40-45 9.0 45-50 5.5 50-55 1.5 55-60 1.0 1.the percent of subscribers who required less than 25 s to download the file 2.the probability that a subscriber chosen at random will require at least 15 s but less than 30 s to download the file
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!
Download time (in seconds) | Percent of Subscribers |
0-5 | 0.4 |
5-10 | 1.7 |
10-15 | 4.3 |
15-20 | 8.2 |
20-25 | 15.1 |
25-30 | 19.4 |
30-35 | 19.0 |
35-40 | 14.9 |
40-45 | 9.0 |
45-50 | 5.5 |
50-55 | 1.5 |
55-60 | 1.0 |
Trending now
This is a popular solution!
Step by step
Solved in 2 steps