Question

A student has received the following homework grades after 6 homeworks have been assigned: [52 90 61 33 24 80]

A) Is this variable binomial?

B) If not, convert it to a binomial variable, and describe the method you used to convert it.

C) Are there other ways you could have converted this variable to binomial?

Answer 1

A) The variable is not a Binomial variable since each trial has only one possible outcomes.

B) Suppose we consider a trial as success if each of 6 homework grades is more than 50 otherwise it will be a failure. So, the possible outcomes are: [S, S, S, F, F, S]

Now, the variable is a Binomial variable.

C) Previously we chose grades above 50 as success. Now, we can choose the grades above 60 as success and failure otherwise. The the possible outcomes are: [F, S, S, F, F, S]. Again this variable is also a Binomial variable.