Now we will sample the starting positions for our particles. for each particle pi, we have generated a random numberri sampled uniformly from [0, 1). your job is to use these numbers to sample a starting location for each particle. as a reminder, locations are integers from the range [1, 10], as shown in the map. you should assume that the locations go in ascending order and that each location has equal probability. the random number generated for particle i, denoted by ri, is provided in the table below. fill in the locations of the eight particles.
particlep1p2p3p4p5p6p7p8
ri0.9140.4730.6790.8790.2120.0240.4 580.154
location:
x0

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?