Suppose the monthly charges for cell phone plans are normally distributed with mean mu equals $ 63μ=$63 and standard deviation sigmaσequals=$1717. (a) draw a normal curve with the parameters labeled. (b) shade the region that represents the proportion of plans that charge lessless than $4646. (c) suppose the area under the normal curve to the leftleft of xequals=$4646 is 0.1587. provide an interpretation of this result.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)