A group of faculty goes off campus for lunch once a month. They usually go to a restaurant nearby. Historical data shows that the time they spend for lunch – i.e. driving out, eating and then driving back Is between 45 and 85 minutes and you can assume that it is uniformly distributed. A. what is the standard deviation of the time spent on lunch? what is the likelihood that they will return
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!
A group of faculty goes off campus for lunch once a month. They usually go to a restaurant nearby. Historical data shows that the time they spend for lunch – i.e. driving out, eating and then driving back Is between 45 and 85 minutes and you can assume that it is uniformly distributed. A. what is the standard deviation of the time spent on lunch?
- what is the likelihood that they will return from lunch within 65 minutes?
- the group is planning to leave for lunch at 12noon. A student calls in the morning and wants to make an appointment with one of the professors in the afternoon. When should the professor set the meeting time to have a 95% chance of being in his office when the student comes?
[e.g. if he sets the meeting time at 12:45PM, he is going to miss the meeting for sure]
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
