Seeing data in the Normal Distribution Curve[br]Use the Normal Distribution Calculator to complete these problems.[br][br]1. Fill in the blanks for the following properties of normal distributions: [br]a) The MEAN is located on the ___ of the Normal Curve.[br] [br]b) In the PROBABILITY of: column, click on the BETWEEN box and change the values in the boxes that appear to -3 ≤ x ≤ 3. [br]What is the probability ____? [br][br]c) Now change the values in these BETWEEN boxes to -1 ≤ x ≤ 1.[br]What is the probability ____?[br][br]d) Now change the values in these BETWEEN boxes to 1 ≤ x ≤ 3.[br]What is the probability ____?[br][br]2. Fill in the blanks for the following properties of normal distributions: [br]a) About ___% of the area under the curve is within 1 standard deviation to the left of the mean. Change the numbers in the PROBABILITY of: BETWEEN boxes to -1 ≤ x ≤ 0.[br][br]b) About __% of the area under the curve is 2 and 3 standard deviations to the right of the mean. Change the numbers in the PROBABILITY of: BETWEEN boxes to 1 ≤ x ≤ 2.[br][br]c) About ___% of the area under the curve is within1 standard deviations from the mean. Change the numbers in the PROBABILITY of: BETWEEN boxes to -3 ≤ x ≤ -2.[br][br]d) How do you know the above values are true? (not because the calculator said so)[br]What is it about the Normal Curve that allows you to be certain?[br] [br]3. A set of 360 data points are normally distributed with a mean of 180 and a standard deviation of 45. [br]a) What is the probability that a value will be between 90 and 270? [br] What information on the curve was used to find this probability? [br][br]b) What is the probability that a value will be below 180?[br] Why is this true?[br][br]c) What is the mean of this data?