Question: 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

5. Three friends are trying to predict who will make more

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

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