The provincial government in British Columbia (BC) introduced a carbon tax in 2008 Past studies showed that 52% of the entire province (British Columbians ) support the tax. a) The provincial government conducted a new survey in 2017 among a random sample of 400 respondents. Calculate the probability that majority of the respondents in the 2017 survey are in favour of the carbon tax assuming that the true proportion of respondents in BC that favours the carbon tax is still 52% Explain . Draw a graph to illustrate your answer. (b) Assuming that the true proportion of respondents in BC that favours the carbon tax is 52%, the probability is 67% that the proportion of respondents that favours the carbon tax in your sample will be less than what percentage ? Explain Draw a graph to illustrate your answer. (c) The probability is 70% that the proportion of respondents that favours the carbon tax in your sample will be contained within what symmetrical limits of the population) proportion? Explain. Draw a graph to illustrate your