Probability Distribution
Probability Mass Function; all numbers in a set must add up to 1
How would you set up the integers in a given equation to solve P(X ≤ 2)?
Answer with whatever integer aligns with 2 in the CDF table
P(X ≥ #)
Subtract 1 from the CDF value integer BEFORE the number in P(X ≥ #)
ex:
--> P(X ≥ 3)
--> P(X ≥ 3) = 1 - P(X ≤ 2)
Power is
The probability of correctly rejecting the null hypothesis when it is false (avoiding a Type II error)
What is CDF?
Cumulative Distribution Function; the probability that X is less than or equal to a given value
How would you set up the integers in a given equation to solve P(X=2)?
Subtract the following CDF value's integer from the CDF integer being used
ex: 3 = 0.8 / 2 = 0.6
--> 0.8 - 0.6 = 0.2
--> P(X=2) = 0.2
P(X ≤ #)
Insert # that aligns with the given CDF value
ex: if 2 is equal to 0.4 on the table, P(X ≤ 2) = 0.4
Significance is
The probability of rejecting the null hypothesis when it is actually true (Type I error)
Subtracting 1 from the given range of integers
ex: P(X less than 4)
1 - P(X less than 4) = #
How would you set up the integers in a given equation to solve P(X ≥ 3)?
Subtract 1 from the previous CDF integer value
ex: P(X ≤ 2) = 0.60
--> P(X ≥ 3) = 1 - 0.60
--> P(X ≥ 3) = 0.40
P(X = #)
Subtract the following CDF value integer from the given CDF value
ex: P (X = 2)
--> P (X ≤ 3) - P (X ≤ 2) = P (X = 2)
PMF method consists of...
Adding all the numbers which align with the integers given
ex: 4 = 0.2, 5 = 0.3
P(X more than or equal to 4)
--> 0.2+0.3=0.5
P(# ≤ X ≤ #)
How would you set up the integers in a given equation to solve P(2 ≤ X ≤ 5)?
Subtract the number aligned with P(5) from the number aligned with the CDF value integer closest to being within the area P(1)