Answer the following questions, ensuring that you show all of your working and reasoning so that your calculations can be followed and understood. Give your answers to appropriate accuracy. a. Write the binomial coefficients for n = 10. (2 marks) b. An electronic device contains 10 identical components. If any one of these components fails, the device will malfunction. Each component has a 1% probability of failing within the first year of use. What is the probability that the device will malfunction within its first year of use. (4 marks) c. Identify any assumptions you made in your answer to part b. (2 marks) d. The device in part b is modified so that it can withstand up to two component failures without malfunctioning. What now is the probability of the device malfunctioning? (5 marks) e. Would it be justified to use a Poisson distribution to calculate the probability of the device malfunctioning? Give your reasoning. (2 marks)