For each of the following questions, say whether the random process is a binomial process or not, and explain your answer. As part of your explanation, you will want to comment on the potential validity of each of the four things that must be true for a process to be a binomial process.

a. One basketball player attempts 10 free throws and the number of successful attempts is totalled.
b. Ten different basketball players each attempt 1 free throw and the total number of successful attempts is totalled.

Respuesta :

Answer:

a

This process follows is a binomial  process

b

This process is not a binomial  process

Step-by-step explanation:

Considering the first statement

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

  This process is a binomial  process because

  1. The  number of trials is  finite
  2. Each trial  is independent of the other
  3. There is only two possible outcome  (make a basket and make no basket
  4. The probability of making a basket and not making a basket is constant throughout the trials

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

   This process is not  a binomial  process because chance that is the probability of success and failure will remain constant throughout the trial is not equal (what this means is that given the number of player is more than on their probability of success and failure will differ.)