Question

For the binomial distribution

a. Is n a parameter of position, scale, shape or a combination? Explain.

b. Is p a parameter of position, scale, shape or a combination? Explain.

c. Say you flip a coin 10 times and count the number of times you get heads. In this case what would be the values of n and p?

Answer 1

There are no location or scale parameters for the binomial distribution.

a shape parameter is any parameter of a probability distribution that is neither a location parameter nor a scale parameter (nor a function of either or both of these only, such as a rate parameter). Such a parameter must affect the shape of a distribution rather than simply shifting it (as a location parameter does) or stretching/shrinking it (as a scale parameter does).

a) n is not location or scale parameter , n is shape parameter

b) p is shape parameter

c)

n = 10 , p = 0.5 if coin is fair