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 at 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 STAT 151 Assignment 2 To'rol: 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. [3 marks] 6. A recent study claims that 33% of Canadians will suffer from some form of mental illness in their lifetime. Suppose you obtain a random sample of 8 Canadians. a] What is the probability that more than 6 of your subjects will suffer from mental illness during their lifetime? (4 marks] b] What is the probability that at least 2 of your subjects will suffer from mental illness during their lifetime? (4 marks] c] How many subjects do you expect to suffer from mental illness during their lifetime? (2 marks] d] Obtain the standard deviation of the number of subjects to suffer from mental illness during thei