SOLUTION: Can you please help me solve this problem. Thank you! Approximately 73% of all marketing personnel are extroverts, whereas about 69% of all computer programmers are introverts.

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Question 457880: Can you please help me solve this problem. Thank you!
Approximately 73% of all marketing personnel are extroverts, whereas about 69% of all computer programmers are introverts.
(a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.)
What is the probability that 5 or more are extroverts? (Use 3 decimal places.)
What is the probability that all extroverts? (Use 3 decimal places.)
(b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.)
What is the probability that 3 or more are introverts? (Use 3 decimal places.)
What is the probability that all are introverts? (Use 3 decimal places.)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Approximately 73% of all marketing personnel are extroverts,
about 69% of all computer programmers are introverts.
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(a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.)
Ans: 1- binomcdf(15,0.73,9) = 0.804
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What is the probability that 5 or more are extroverts? (Use 3 decimal places.)
Ans: 1- binomcdf(15,0.73,4) = 0.999
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What is the probability that all extroverts? (Use 3 decimal places.)
Ans: (0.73)^15 = 0.009
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(b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.)
Ans: 0.31^3 = 0.030
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What is the probability that 3 or more are introverts? (Use 3 decimal places.)
Ans: 1- binomcdf(5,0.69,2) = 0.823
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What is the probability that all are introverts? (Use 3 decimal places.)
Ans: 0.69^5 = 0.156
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Cheers,
Stan H.