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In a wooded area you randomly select 10 trees and find that 3 are tagged You conclude that there is a 30 percent probability of randomly selecting a tagged tree?

Empirical


Which most closely approximates a normal distribution in the US age at time of death or annual income?

Age at death.


How do you find the mode in a math problem?

Mode: The number appearing the most common/often Example: 1, 2,3,1,1,1,5,6,7,9,12,45,68,11,1,1,1 what us the mode here? The mode is 1, it appears the most common here.


What is the total area under the normal distribution curve?

The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%). For example, if the mean (average) male height is 5'10" then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10". This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve. This leads us to the definitions of z-scores and standard deviations to represent how far along the normal curve a particular value is. We can calculate the likelihood of the value by finding the area under the normal curve to that point, usually by using a z-score cdf (cumulative density function) utility of a calculator or statistics software.


What is the standard normal distribution for the area to the left of z-1.72 and show work?

Area to the left of z = -1.72 = area to the right of z = 1.72 That is ALL the "working" that you will be able to show - unless you are into some serious high level mathematics. Most school teachers and many university lecturers will not be able to integrate the standard normal distribution: they will look it up in tables. (I have an MSc in Mathematical Statistics and I could do it but not without difficulty). Pr(z < -1.72) = 0.042716