Practice midterm, no solutions. please help!

Q3 (6 points) Ollivanders' record indicate that about 5% of wands produced have some defect. Six wands were randomly selected and examined. Let X be the number of defect wand among six randomly selected wands. (a) [2 marks] Describe in the context of the question how X satisfies the underlying assumptions of the Binomial distributions. (b) [2 marks] Write down the probability mass function of the Binomial distribution that best describes the question. Remember to write down all assumptions of the parameters. (c) [2 marks] What is the expected number of wand that will have some defect? What is the variance