Normal Distribution (1) Flashcards
1
Q
Formula for normal distribution
A
Z = (X - μ)/σ
2
Q
Z = (X - μ)/σ
A
Formula for normal distribution
3
Q
Given X¬N(80,4^2)
Find P(X<75)
A
Z = (75-80)/4 = -1.25 Lower: -10 Upper: -1.25 Sigma: 1 Mean: 0
4
Q
Z = (75-80)/4 = -1.25 Lower: -10 Upper: -1.25 Sigma: 1 Mean: 0
A
Given X¬N(80,4^2)
Find P(X<75)
5
Q
What is P(X=81)?
A
0
6
Q
0
A
What is P(X=81)?
7
Q
What is P(X!=200)
A
1
8
Q
1
A
What is P(X!=200)
9
Q
X¬N(10,0.5^2)
30% are less than A. Find A
A
Go to inverse normal on calculator.
Type 0.3, 1 and 0 in to get the Z value of -0.5244.
-0.5244 = (A-10)/0.5 A = 9.7378
10
Q
Calculate 2 standard deviations?
A
Lower: -2
Upper: 2
Sigma: 1
Mean: 0
11
Q
Lower: -2
Upper: 2
Sigma: 1
Mean: 0
A
Calculate 2 standard deviations?
12
Q
P(X=2) from discrete to continuous
A
P(1.5
13
Q
P(1.5
A
P(X=2) from discrete to continuous
14
Q
P(X>4) from discrete to continuous
A
P(X>4.5)
15
Q
P(X>4.5)
A
P(X>4) from discrete to continuous
