8) Rita's toy factory produces toys for toddlers that are packed into boxes. Each box contains 10 toys. A box of toys randomly selected by the company's production manager found 45% of all toys packed in the boxes are defective.

Use the above information and your knowledge of binomial probability to answer the following questions.

1. Calculate the mean and standard deviation. (2 marks)
2. Find the probability that there are at least 8 defective toys in the box. (4 Marks)