The average time it takes college freshmen to complete the Mason Basic Reasoning Test is 38.3 minutes. The standard deviation is 3.2 minutes. Assume the variable is normally distributed. Find the probability that it will take a student between 30 and 45 minutes to complete the test.
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 average time it takes college freshmen to complete the Mason Basic Reasoning Test is 38.3 minutes. The standard deviation is 3.2 minutes. Assume the variable is
Find the
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
