Students, K Electric need your help. Their system resembles that of PSPCL. They supply electricity through power lines, substations and pole-mounted transformers. It is a challenge to meet the demands of Pakistan's largest city, with its rising population and mushroom growth of unleased areas and multi-storey buildings. Also keeping in mind, the Uncertain law and order situation, politically influenced culture and cumbersome legal procedures. They get the power supply from three main grids i.e, National Grid, Wind Powered Grid, Solar Powered Grid. Good Working Faults National Grid Wind Powered Grid Solar Powered Grid 4354 3435 7686 6576 2323 9834 Table 1.1 Due to the thunder storming rains that just happened in Pakistan, Karachi's power was interrupted. It is also confirmed that the error is not caused by K Electric but the grid themselves. Data of previous good working and faults is also given below in Table 1.1. Now here is where your help is required. • Compute all the probabilities. Show full working of each computation along with the table. • Compute the chances that if the fault occurs and Karachi's power is out, it is because of the Wind Powered Grid. • Compute the chances that the Solar Powered Grid provides Good Working of the electricity supplied to K Electric. • Compute the chances that the power supplied is Good Working given that the Grid that was supplying the power is Solar Powered Grid. • Give example from this scenario of a dependent event as well as an independent event. Show all the steps of the working solution in a presentable manner.

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