Chapter 4.2

Question 1

Continuous Random Variable

Answer 1

Random variable whose values fall within an interval

Question 2

Density Curve (Function)

Answer 2

Assigns probabilities to any interval of possible random variable values

Question 3

Density Curve Analogous To…

Answer 3

A histogram, which converges to the density curve

Question 4

P(X = c) for any c

Answer 4

0

Question 5

Area under the Density Function curve

Answer 5

1

Question 6

Normal Distribution

Answer 6

Symmetric and bell-shaped continuous random variable distribution

Question 7

Normal Distribution in terms of X

Answer 7

Question 8

Standard Normal Distribution

Answer 8

Where the mean is 0 and the standard deviation is 1

Question 9

Standard Normal Distribution in terms of X

Answer 9

Question 10

Finding Z from some Normally Distributed X

Answer 10

Question 11

Finding X from some Standard Normal Z

Answer 11

Question 12

P(a < Z < b)

Answer 12

P(Z < b) - P(Z < a)

Question 13

N(0,1) Transformations

Answer 13

N(0,y) shifts it up or down if > 1 and down if < 1 N(x,0) shifts it right if > 1 and down if < 1

Question 14

Z Values and Percentiles (Standard)

Answer 14

If P(Z < zp) = p we say zp is the pth quantile or p*100th percentile of the standard normal distribution

Question 15

Z Values and Percentiles (General)

Answer 15

pth quantile or p*100th percentile is