Binomial Distribution

Question 1

What are the four conditions for utilising the binomial distribution?

Answer 1

1) Each trial has only 2 possible outcomes, which are mutually exclusive.

2) The probability of each success in a trial is constant.

3) Each outcome of successive trials are independent.

4) There is a finite number of trials.

Question 2

How do you calculate probability using the binomial distribution?

Answer 2

nCr x pr x (1-p)n-r

Question 3

How do you denote Binomial Distribution?

Answer 3

X ~ Bin (n,p)

Where X is distributed between the parameters of distribution, n and p.

N represents the number of trials.

P represents the probability of success in each trial.

Question 4

When using a calculator, what do you use ‘Binomial PD’ and ‘Binomial CD’ for?

Answer 4

Use ‘Binomial PD’ for individual values.

Use ‘Binomial CD’ for cumulative values.

Question 5

When using cumulative distribution, what values are you calculating for P(X less than or equal to 1)?

Answer 5

P(0) + P(1)

Question 6

If you have P( X greater than or equal to 6), what do you use to calculate this?

Answer 6

Use 1 - (X is less than or equal to 5) with Bin CD.

Question 7

If you have P(X greater than 9), what do you use to calculate this?

Answer 7

1 - (P(X less than or equal to 9)

Question 8

Instead of using a calculator, what can you use to find cumulative probabilites quickly?

Answer 8

Binomial tables.