Urgent please! Need the steps for this

(c) A survey was conducted on lawyers at two different law firms about their annual incomes. The following table displays data for the 275 lawyers who responded to the survey. Annual Income Law Firm 1 Law Firm 2 Total Under $45,000 30 20 50 $45,000 to $89,999 35 40 75 $90,000 and over 100 50 150 TOTAL 165 110 275 Suppose we choose a random lawyer who responded to the survey. Are the events "income is under $45,000" and "employed at Law Firm 2" independent? [4 marks] (d) A smartphone company receives shipments of smartphones from three factories, labelled, 1, 2 and 3. Twenty-five percent of shipments come from factory 1 whose shipments contain 8% defective smartphones. Sixty-five percent of the shipments come from factory 2 whose shipments contain 6% defective smartphones. The remainder of the shipments comes from factory 3 whose shipments contain 4% smartphones. The company receives a shipment, but does not know the source. A random sample of 15 smartphones is inspected, and three of the smartphones are found to be defective. What is the probability that this shipment came from factory 2? [8 marks]