5. Three friends are trying to predict who will make more money at work tomorrow. John works construction: he will make $250 tomorrow unless it rains, in which case he will make $0. Sara works in a restaurant: she will earn $100 if it is sunny, $200 if it is rainy, and $250 if the weather is average. Chris works in a warehouse, and he earns a flat rate of $200 per day, regardless of weather conditions. Suppose there is a 20% chance that tomorrow will be sunny, and 50% chance that the weather will be average, and a 30% chance of rain. john (Construction) Sara (Restaurant] Chris (Warehouse) Sunny $250 $100 $ 200 Average $250 $250 $200 Rainy $0 $200 $200 2 STAT 151 Assignment 2 Total: 113 Marks a) Determine tomorrow's expected earnings for each of these 3 friends. (6 marks) b) Compute the standard deviation for Sara's earnings