Continuous Probability

Question 1

[equation] Gaussian function

Answer 1

f(x) = (1/(s√(2π)))e^{-1/2((x-μ)/s)^2}

Question 2

what area under a curve does a z-value indicate?

Answer 2

to the left to the left 🎶

Question 3

_______ is the number of standard deviations your value is from the mean (/OH MY GLOB THE WHOLE SIGMA THING MAKES SENSE NOW/)

Answer 3

Z

Question 4

[equation] z-value

Answer 4

z = (x-μ)/𝜎

Question 5

What do you do when the question asks for a number of ‘things’ and you calculate a decimal?

Answer 5

Round it UP

Question 6

When should you interpolate?

Answer 6

When your number is two points away from any given value

(e.g., you don’t need to interpolate for z = 2.88, but you /do/ need for z = 2.86)

Question 7

Difference between correlation coefficient and Pearson’s R is…?

Answer 7

Pearson’s R is from data (describes actual data, like the dispersion resulting from the data u have??)

The correlation coefficient is describing the probability already (directly describes dispersion?? what…)

(they are similar tho)

Question 8

Correlation coefficient

Answer 8

Describes how scattered your points will be from your x=y line

Question 9

[equation] Bivariate Gaussian (normal) function (according to sir)

Answer 9

f_XY(x,y) = [1/(2π√(1-ρ²)] e ^{-1/2[(x^2-2ρxy+y^2)/(1-ρ^2)]}

Question 10

f_XY(x,y) could be any arbitrary function as long as _________

Answer 10

the double integral of that function with respect to x and y is ultimately equal to 1