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The 2021 Canadian federal election had one of the lowest rates of voter turnout in history. Elections Canada is the government organization responsible for conducting

The 2021 Canadian federal election had one of the lowest rates of voter turnout in history. Elections Canada is the government organization responsible for conducting federal elections. They want to boost voter turnout in the next election and have asked researchers to analyze information about voter turnout across Canada's 338 ridings (voting districts). The number of votes cast in a riding follows an unknown distribution with a mean of 50,916 and a standard deviation of 12,155.

(a) (2 marks) Suppose that roughly 18% of the ridings in Canada had more than 62,000 votes cast in the 2021 federal election. Based on the reported mean, standard deviation, and proportion of ridings with more than 62,000 votes cast, do you think the number of votes is normally distributed? Explain why or why not

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