3. and variance o. Let y be a random variable following a normal dist.docx

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3. and variance o. Let y be a random variable following a normal distribution with mean a) What is the pdf function for this distribution? b) Let = 0 and o* = 1, now rewrite the pdf function from (a) using these values in place of the distribution parameters, c) Give a rough sketch of the normal distribution, by showing the curve, indicating where the mean is and what percent of the data falls within +1.+2, and + 3 standard deviations from the mean. 4. Given that z is a standard normal random variable, find the value for z for each situation. a) The area to the left of z is 0.2119. b) The area between-2 and 2 is 0.9030. c) The area between -z and z is 0.2052 d) The area to the left of z is 0.9948. e) The area to the right of z is 0.6915. 5. New York City is the most expensive city in the United States for lodging. The
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