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In: Statistics and Probability

What two characteristics of the data do you need to determine which binomial distribution to use?...

What two characteristics of the data do you need to determine which binomial distribution to use?
What two characteristics of the data do you need to determine which Poisson distribution to use?
What two characteristics of the data do you need to determine which normal distribution to use?

(2) For the following scenarios determine if you should use Binomial, Poisson or Normal Distributions

(a) The experiment/problem involves 2 independent outcomes, a fixed number of trials with a known (fixed) probability of “success”

(b) The experiment/problem involves number of outcomes per area or time

Solutions

Expert Solution

What two characteristics of the data do you need to determine which binomial distribution to use?

Binomial is an experiment or event with only two possible outcomes, example tossing a coin H or T, rolling a die either odd or even, or if determining the age whether above 30 or below 30.

One of the outcome is success usually defined as 'x'.

The parameters are

n - No. of independent trials with same probabiltiy of success

p - probability of success

What two characteristics of the data do you need to determine which Poisson distribution to use?

It is the probability of rare events within a period of time. Mostly the parameter is the value of average of mean.

- mean = variance = rate of the event

t - time period.

What two characteristics of the data do you need to determine which normal distribution to use?

The normal distribution are symmetrical and usually mention the mean and the SD.

- mean

- SD

(2) For the following scenarios determine if you should use Binomial, Poisson or Normal Distributions

Please review the definitions above for explanation

(a) The experiment/problem involves 2 independent outcomes, a fixed number of trials with a known (fixed) probability of “success”

Binomial

(b) The experiment/problem involves number of outcomes per area or time

Poisson

Normal

orchestra answered 1 year ago

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