Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. If one of the trials is randomly chosen, find the probability that it lasted at least 21 days. (_______) If one of the trials is randomly chosen, find the probability that it lasted between 23 and 28 days. (____) 77% of all of these types of trials are completed within how many days? (Please enter a whole number) (____)
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 the duration of a particular type of criminal trial is known to be
If one of the trials is randomly chosen, find the probability that it lasted at least 21 days. (_______)
If one of the trials is randomly chosen, find the probability that it lasted between 23 and 28 days. (____)
77% of all of these types of trials are completed within how many days? (Please enter a whole number) (____)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
