Normal Distribution (1)

Question 1

Formula for normal distribution

Answer 1

Z = (X - μ)/σ

Question 2

Z = (X - μ)/σ

Answer 2

Formula for normal distribution

Question 3

Given X¬N(80,4^2)

Find P(X<75)

Answer 3

Z = (75-80)/4 = -1.25
Lower: -10
Upper: -1.25
Sigma: 1
Mean: 0

Question 4

Z = (75-80)/4 = -1.25
Lower: -10
Upper: -1.25
Sigma: 1
Mean: 0

Answer 4

Given X¬N(80,4^2)

Find P(X<75)

Question 5

What is P(X=81)?

Answer 5

0

Question 6

0

Answer 6

What is P(X=81)?

Question 7

What is P(X!=200)

Answer 7

1

Question 8

1

Answer 8

What is P(X!=200)

Question 9

X¬N(10,0.5^2)

30% are less than A. Find A

Answer 9

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

Question 10

Calculate 2 standard deviations?

Answer 10

Lower: -2
Upper: 2
Sigma: 1
Mean: 0

Question 11

Lower: -2
Upper: 2
Sigma: 1
Mean: 0

Answer 11

Calculate 2 standard deviations?

Question 12

P(X=2) from discrete to continuous

Answer 12

P(1.5

Question 13

P(1.5

Answer 13

P(X=2) from discrete to continuous

Question 14

P(X>4) from discrete to continuous

Answer 14

P(X>4.5)

Question 15

P(X>4.5)

Answer 15

P(X>4) from discrete to continuous

Question 16

P(X>=5) from discrete to continuous

Answer 16

P(X>4.5)

Question 17

P(X>4.5)

Answer 17

P(X>=5) from discrete to continuous

Question 18

P(X<6) from discrete to continuous

Answer 18

P(X<5.5)

Question 19

P(X<5.5)

Answer 19

P(X<6) from discrete to continuous

Question 20

P(X<=7) from discrete to continuous

Answer 20

P(X<7.5)

Question 21

P(X<7.5)

Answer 21

P(X<=7) from discrete to continuous