Micros X Q mygo\\ x > Signol X I Home x Mail - X Contel X Bb 29183 X S SCIE11 X ChatG X Applicaownl X (28,60 x + X C Q https://learn-ap-southeast-2-prod-fleet01-xythos.content.blackboardcdn.com/5ddb108fe0c42/29183310?X-Blackboard-$3-Bucket=learn-ap-southeast-2-prod-fleet0. cp Draw QT A at Ask Copilot 2 of 4 | 2 1 0D Edit with Acrobat Q EXERCISES: 1. Answer the following questions. Show your calculations but use concise notation. For example, O if you are asked to find the expected value of a random variable X that takes the values 2 and 5 with a probability of 0.6 and 0.4 (respectively), then your answer should be given as: M E(X) = 0.6 * 2 + 0.4 *5 = 3.2. (36 marks) a) A random variable X takes the values 4, 5, 6, 7, and 8 with probabilities 0.1, 0.2, 0.3, 0.3, and 0.1, respectively. What is the expected value E(X) and what is the standard deviation + o(X)? b) Answer the following questions. i) Express the following in radians: 15, 60, 135. ii) Express the following in degrees: ", 5, 2". iii) Given sin 0 = 3, 0