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There are only 11 software firms that design a certain kind of software. Of​ these, 6...

There are only 11 software firms that design a certain kind of software. Of​ these, 6 use Protocol A in their software. A working group of 3 designers​ (no more than one from a​ firm, some firms were not​ represented) was formed to reach an a new protocol. Assume that the working group is chosen without regard to whether a​ designer's firm uses Protocol A.

a. What is the probability that exactly 2 of the designers on the working group will be from firms that use Protocol​ A? ​ (Use four decimal​ places.) 

b. What is the mean number of designers on the working group that are from firms that use Protocol​ A? ​ (Use one decimal place in your​ answer.)  

c. What is the variance of the number of designers on the working group that are from firms that use Protocol​ A? ​

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