I found that the Trinidad and Tobago Police Service (TTPS) has issued on average 24 A recent survey on traffic offenses committed in the country of Trinidad and Tobago has speeding tickets per year: i. ii. iii. Name the random variable present in this problem and state its distribution. [2 marks] What is the probability that TTPS will issue 10 speeding tickets next year? [3 marks] Write an expression for the probability that TTPS will issue at least 3 tickets over the next three months. [4 marks] An investor is interested in the following two stocks listed on the Trinidad and Tobago Stock Exchange; AHL and TCL. The average share price of AHL has been found to be $20 with a standard deviation of $4 while TCL's share price has averaged $22 with a standard deviation of $1. If the investor decides to create a portfolio by buying 6 shares in AHL and 10 shares in TCL, both of which have been found to be normally distributed: i. Determine the distribution of the investor's portfolio of stocks. Please ensure to state the parameters. 14 marks] Determine the expected value of the investor's portfolio. [2 marks] Determine the variance of the investor's portfolio. [2 marks]