1. Measuring risk Assume you face a symmetric distribution that yields elther $5 or $15 with equal chance. Now there is an additional risk of either gaining or losing $2 with equal chance, and you decide to attach it to the high outcome. As a result, you face the following distribution: $5 with a 50% chance, $13 with a 25% chance, $17 with a 25% chance. a. Find the mean, variance, standard deviation, coefficient of variation, and the skewness of this distribution. b. How will the risk measures calculated in a. be affected if the additional risk was a 50/50 chance of gaining or losing $3 instead of a 50/50 chance of gaining or losing $2? No calculation is required but explain your answers carefully for full credit. 1. Measuring risk Assume you face a symmetric distribution that yields elther $5 or $15 with equal chance. Now there is an additional risk of either gaining or losing $2 with equal chance, and you decide to attach it to the high outcome. As a result, you face the following distribution: $5 with a 50% chance, $13 with a 25% chance, $17 with a 25% chance. a. Find the mean, variance, standard deviation, coefficient of variation, and the skewness of this distribution. b. How will the risk measures calculated in a. be affected if the additional risk was a 50/50 chance of gaining or losing $3 instead of a 50/50 chance of gaining or losing $2? No calculation is required but explain your answers carefully for full credit