g Let X be a continuous random variable with pdf f(x) = ( k x4 x > 1 0 x ≤ 1 (a) (5 points) Determine the value of k for which f(x) is a legitimate pdf. (b) (5 points) Obtain the cumulative distribution function. (c) (5 points) Use the cdf from (b) to determine the probability that X is greater than 2. (d) (5 points) Obtain the expected value and variance of X.

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.