2. 2pt each Determine whether the given procedure results in a binomial distribution. (Circle yes or no.) Then explain why?
a) Recording the genders of 150 people in a statistics class. Yes or No Why?

Step 1 ：The question is asking whether the procedure of recording the genders of 150 people in a statistics class results in a binomial distribution.

Step 2 ：A binomial distribution has the following properties: 1. The experiment consists of n repeated trials. 2. The trials are independent. The outcome of one trial does not affect the outcome of other trials. 3. Each trial results in one of two outcomes - success or failure. 4. The probability of success, denoted by p, is the same for each trial.

Step 3 ：In this case, the experiment consists of 150 repeated trials (recording the gender of each person), the trials are independent (the gender of one person does not affect the gender of another), and each trial results in one of two outcomes (male or female). Therefore, it seems that this procedure could result in a binomial distribution.

Step 4 ：However, the fourth property of a binomial distribution is that the probability of success is the same for each trial. In this case, it is not guaranteed that the probability of recording a male or a female is the same for each person in the class. The gender distribution in a class could be skewed towards one gender or the other. Therefore, we cannot definitively say that this procedure results in a binomial distribution.

Step 5 ：Final Answer: No, the procedure of recording the genders of 150 people in a statistics class does not necessarily result in a binomial distribution because the probability of success (recording a male or a female) is not necessarily the same for each trial. \(\boxed{\text{No}}\)