6.2 standard normal distribution

Question 1

what are the 3 properties of a standard normal distribution?

Answer 1

graph of distribution is bell-shaped
mean is = 0
standard deviation of 1

Question 2

the area under a graph of a probability distribution is equal to

Answer 2

1

Question 3

define uniform distribution

Answer 3

a continuous random variable with a graph in a rectangular shape, showing that all values are spread evenly over the range of possibilities

Question 4

what is a density curve

Answer 4

the graph of a continuous probability distribution

Question 5

what are the requirements of a density curve

Answer 5

the area under the curve must equal 1

every point on the curve must have a vertical height that is 0 or greater

Question 6

in a density curve, why is there correspondence btwn area and probability?

Answer 6

bc the total area under the density curve must equal 1

Question 7

define standard normal distribution

Answer 7

a normal distribution with the parameters
mu = 0
and sigma = 1
the total area is equal to 1

Question 8

what is a z score?

Answer 8

the distance along the horizontal scale of the standard normal distribution

Question 9

what is a critical value?

Answer 9

a z score separating likely values from those that are unlikely to occur

Question 10

area, probability, relative frequency and percent are all

Answer 10

interchangeable words talking about the same idea