Given the diagram of the shaded region under the Standard Normal Distribution curve below, find the z-score that would be the cutoff for the shaded region. [ In case the image does not load, the image shows an area of 0.2245 to the LEFT of the missing z-score ] Find the missing z-score. Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer
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!
Given the diagram of the shaded region under the Standard
[ In case the image does not load, the image shows an area of 0.2245 to the LEFT of the missing z-score ]
Find the missing z-score.
Show how you calculated your result here (type in what you typed on your calculator or computer, the
Calculation: __________
Now type in your final rounded answer, round your answer to two decimal places.
z = ___________
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
