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{"ops":[{"insert":"4. Show that the normal density with parameters \u00b5 \ud835\udc4e\ud835\udc5b\ud835\udc51 \ud835\udf0e has inflection points at the values \u00b5 \u2212 \ud835\udf0e \ud835\udc4e\ud835\udc5b\ud835\udc51 \u00b5 + \ud835\udf0e. (Recall that an inflection point is a point where the curve changes direction from concave up to concave down, or vice versa, and occurs when the second derivative changes sign. Such a change in sign may occur when the second derivative equals zero.) \n5. Assume that \ud835\udc4c has a normal distribution with a mean and a standard deviation. A mathematician creates a rectangle with length \ud835\udc3f = |\ud835\udc4c | and width \ud835\udc4a = 3|\ud835\udc4c | after seeing a value of \ud835\udc4c. Allow A to represent the area of the resultant rectangle. What exactly is \ud835\udc38(\ud835\udc34)?\u00a0\n"}]}
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