[30 Marks] 4. An investor plans to invest the following three assets and find their means and standard deviations of the annual returns as follows: Assets SSE index BYD Tesla Mean annual return Standard deviation of annual return 0.05 0.08 0.10 0.20 0.20 0.50 The investor is considering three strategies: Strategy 1: Invest 50% in SSE index and 50% in BYD. Strategy 2: Invest 50% in SSE index and 50% in Tesla. Strategy 3: Invest 50% in BYD and 50% in Tesla. a. Assuming the three assets are independent, determine the portfolio expected return and standard deviation of the three strategies. [12 Marks] b. Given the correlations between all pairs of assets as follows and recalculate portfolio expected returns and standard deviation of the three strategies. Correlations SSE index BYD Tesla SSE index BYD Tesla 1 0.50 1 0.30 0.75 1 [15 Marks] D) Cannot be determined -infinite Cantabe binamtal probabitk 3) Which of the following represents a difference between continuous and discrete random variables? a. Continuous random variables assume an uncountable number of values, and discrete random variables do not. b The probability for any individual value of a continuous random variable is zero, but for discrete random variables it is not. c. Probability for continuous random variables means finding the area under a curve, while for discrete random variables it means summing individual probabilities d. All of these choices are true. 2.53 11shaped 1 ballshaped 4) The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. Find z in chart a) The probability that more than 16 ounces is dispensed in a cup is A) 0.1500 1587 B) 0.1587 C) 0.1640 (Cummulative) r=4 N=12 D) 0.1475 b) The number of ounces above which 80% of the dispensed sodas will fall is (round to the nearest tenth) 2=0.80 1-0.80= 0.2. 8.6 ounce B) 9.4 ounce 30 316 (0.895)(4)+12=8.42. C) 7.5 ounce D) 8 ounce X-N 30 5. a. Complete the following chart to demonstrate your understanding of the differences between qualitative and quantitative inquiry. Focus Philosophical Roots Goals of Investigation Design Characteristics Data Collection Qualitative Inquiry Quantitative Inquiry b. How is the concept of validity defined within the context of qualitative inquiry? c. List the 8 strategies that qualitative researchers use to evaluate and establish the validity of their qualitative inquiries.