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The city of reported that approximately 75% of residents are over the age of 60. Let X be the number of residents over the age of 60. From a random sample of 500 Irvine residents, 350 were over the age of 60. What is the sampling distribution of the sample proportion for the sample of 500? Select X~Bin(500, 0.75) X- AN(500, 0.75) X- Bin(0.75, 0.019) X- AN(0.75, 0.019) Using the distribution of X from above, what is the probability that at most 350 of the 500 Irvine Select residents selected will be over the age of 60? P(X=0.7) = 0.9957 P(X=0.7) = 0.00425 P(X20.7) = 0.00425 P(X$90) = 0.9957 What is the probability that at least 350 of the 500 residents in the sample were over the age of 60? Select ] P(X20.7) = 0.9957 P(X=0.7)= 0.00425 What is the probability that between 400 and 475 of the residents were over the age of 60? Select ] P(X=0.80) + P(X20.95) = 0.9957 P(X=0.80) = 0.9957 P(0.80sX