Agency 2. In the wake of the recent weather disasters in California, the Federal Emergency Managemen (FEMA) used historical data to estimate the amount of food (in millions of pounds), denoted as random variable X, that an affected area may need (e.g., X = 0.1 indicates that 100,000 pounds of food will be needed). Using this data they determined that the cumulative density function of this random variable is given as.. Fx (x)= [ c ( x + x /2 ) otherwise for 0 < x < 1 Historical data indicates that there is approximately a 69.08% chance the City of San Francisco needs more than 500,000 pounds of food. What is the probability that that San Francisco needs between 550,000 and 750,000 pounds of food? What is the expected amount of food San Francisco will need? (Hint: Notice that the "c" is an unknown constant at this point. Start with finding that using knowledge of what a CDF is.) (15)