Question: This section has five questions. Each question carries 10 marks. Write your answers in the space provided below each question. Question 1: (10 marks) Due

This section has five questions. Each question

This section has five questions. Each question carries 10 marks. Write your answers in the space provided below each question. Question 1: (10 marks) Due to launching of iPhone 13, an iPhone seller has lowered the prices on iPhone 12 in order to clear the "leftover inventory". With reduced prices, the iPhone seller estimates the following probability distribution of total number (X) of iPhone 12 that will be sold at various prices on a given day: X 3 0.1 4 0.2 5 0.3 6 0.2 7 0.2 a. b. What is the expected number of iPhone 12 that the iPhone seller will sell on a given day? (4 marks) Given the probability distribution above, what is the expected variance of Variable X? (4 marks) Given the probability distribution above, what is the standard deviation of Variable X? (2 marks) Note: You are required to show your workings and calculations for this question. C

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