Question 1 In Florida, 49 % of the population favors the incumbent for governor. A simple random sample of 150 is taken. Use the normal approximation along with the continuity correction factor to find the probability that at least 71 respondents favor the incumbent for governor. • Let X be the number of respondents out of 150 that favor the incumbent for governor. Describe the distribution of X and its parameters: X Select an answer (n = Select an answer N • Use the random variable notation to symbolically express the probability that at least 71 respondents favor the incumbent for governor: Select an answer Select an answer P(X271) P(X<71) P(X≤71) P(X>71) • Let Y be a normal variable that will be used to approximate the probability in question. Find the parameters of Y (round the answers to 2 decimal places): Y~ Select an answer (μ = Select an answer N x² B Use the correction for continuity: • Use the random variable notation to symbolically express the approximate probability that at least 71 respondents favor the incumbent for governor: Select an answer Select an answer P(Y<71) P(Y>71) p= Select an answer Select an answer P(Y>71.5) P(Y<71.5) P(Y<70.5) P(Y>70.5) Find the probability (round the answer to 4 decimal places): σ

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