4. Binomial distribution

binomial distribution

a statistical probability distribution that states the likelihood that a value will take one of two independent values under a given set of parameters or assumptions

difference btwn normal and binomial distribution

binomial distribution deals with discrete events (like "heads or tails" in a coin toss) while normal distribution deals with continuous data (like height or weight) where any value within a range is possible

the 4 criteria of a binomial experiment

1. there are a fixed number of trials/observations (n)

2. the trials are independent (one outcome does not effect another outcome

3. each outcome is either a success or a failure

4. the probability of success is fixed for each trial

Can be remembered as BINS

• binary outcome

• independent trials

• N # of trials

• same p per trial

two things probabilities rely on

1. number of trials (n)

2. probability of success

stat crunch for binomial

1. stat

2. calc

3. binomial

4. type in number of trials and chance of it being less than or equal to two numbers

variance of a binomial

using normal distribution to help solve binomial distr.

two requirments must be met:

1. np≥10

2. n(1−p)=nq≥1

   If these are met then this equation may be used (σ) = np(1−p)np(1−p)​

standard deviation for a sample proportion is