Distributions (probability, binomial and normal)

Question 1

How is the probability that the random variable X takes a particular value x written?

Answer 1

P(X =x)

Question 2

What does each letter mean in:

X ~ B(n, p) ?

Answer 2

B = binomial expansion
n = number of trials
p = probability of success

Question 3

How do you get binomial expansion on the calculator?

Answer 3

Calculator - menu - 7 - 4

Question 4

When do you use binomial PD?

Answer 4

When x=y

Question 5

When do you use binomial CD?

Answer 5

When xy

Question 6

What is the written formula for normal distribution?

Answer 6

X ~ N(u, o-^2)
u = mean
o- = standard deviation

Question 7

How do you get normal distribution on a calculator?

Answer 7

menu - 7 - 2

Question 8

What is the equation for z?

Answer 8

Z = (x - u)/o-
x = probability you want to find

Question 9

How do you calculate the inverse normal?

Answer 9

calculator - menu - 7 - 3
use the values from x~N(u, o-)
e.g. area = 30% = 0.3

Question 10

What is z for?

Answer 10

finding the value for the distribution graph where the mean is 0 and has a standard deviation of 1

Question 11

How do you turn discrete data into continuous data?

Answer 11

discrete - P(x=2)
continuous - P(1.5<x<2.5)

Question 12

How do you turn Binomial distribution formula into normal distribution formula?

Answer 12

X~B(N, P)
u = np
o- = np(1-p)
X~N(u, o-^2)

Question 13

What are the conditions for turning binomial distribution into normal distribution?

Answer 13

n must be large and p needs to be close to 0.5