The lengths of your statistics class has a continuous uniform distribution between 47 minutes and 58 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions What is the distribution of X? X ~ U (,) Please show the following answers to 4 decimal places. What is the probability that the class is exactly 52 minutes long?
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!
The lengths of your statistics class has a continuous uniform distribution between 47 minutes and 58 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions
- What is the distribution of X? X ~ U (,)
Please show the following answers to 4 decimal places.
- What is the probability that the class is exactly 52 minutes long?
- What is the probability that the class is more than 52 minutes long?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
