technology company is forming a task force of six members to deal with urgent quality  issues.  The  positions  will  be  filled  by  randomly  chosen  qualified  applicants.  The  qualified  applicants consist of five managers and ten engineers.  a. What  is  the  probability  that  the  number  of  managers  is  the  same  as  the  number  of  engineers on the task force?  b. What is the expected number of engineers chosen?

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