1.1 A lecturer has board markers of which 8 are red, 10 are green, and 2 are black. The lecturer takes out one marker and replaces it, and takes out a second one. What is the probability of: a) A black marker being taken out the first time? b) A black marker being taken out first the first time and a red one the second time? c) Two green markers being taken out twice? d) A red marker taken out the second time given that a white marker was taken out the first time? Activity 2 (10) 2.1 The possible time frames that Andre would use to complete the redesign of a power plant ranges between 25 weeks to 30 weeks. Based on historical data, the probability distribution for the completion times of this project is listed in the following table. Time to complete a project Probability (weeks) 25 0.07 26 0.09 27 0.14 28 0.14 29 0.38 30 0.18 a. What is the expected time to complete the project? b. By how much did the project completion time vary? C. By how much did the project completion time deviate