The merger and acquisitions process doesn$$t end with the deal closure. Without having post$-$merger integration phase well$-$planned, the deal risks of failure. Post$-$merger integration involves combining the two businesses$-$their assets, people, resources, and technology$-$into one in a way that creates the most value for the future of company. After the acquisition, the healthcare company $($NORTHERN CARE$)$ estimates that there will be an increased focus on production expansion and customer growth targeted marketing strategies. $1.$ Customer retention during the integration process is one the challenges and $$NORTHERN CARE$$ expects to engage in series of targeted marketing campaigns to boost sales post$-$acquisition. Research indicates the following: $$ There is $25\%$ chance that any given marketing campaign will significantly boost sales $$ On average, $10\%$ of customers make purchases after seeing a campaign, and $$NORTHERN CARE$$ receive an average of $200$ customer inquiries per month. a$.$ What is the probability that at least two out of the next five marketing campaigns will significantly boost sales?