Part IV. [Instruction: You MUST show your work. Otherwise, you will get zero points even if your answer is correct.] (30 pts.) Paula Johnson works for a foundation devoted to malaria eradication in Kenya. She calls 10 potential donors per day. solicitating $10/month for her foundation. Her success rate is approximately 20% (i.e. 20% of the potential donors sign up). On November 1, 2020 she called 10 potential donors. Assume that the number of potential donors (X), who will commit to donate to her foundation, has a Binomial Probability Distribution with P=0.20 [ Each 5 pts] a. What is the probability that on November 1, 2020 no potential donors will sign up? b. What is the probability that all of the potential donors will sign up on November 1, 2020? c. What is probability that exactly 2 potential donors will sign up on November 1, 2020? d. What is the probability that at least 1 potential donor will sign up on November 1, 2020? e. What is the expected number of the potential donors who will sign up on November 1, 2020? f. What is the probability that either 0 or 10 potential donors will sign up on November 1. 2020