Question 342443: In a binomial situation n = 6 and .35. Determine the probabilities of the following events using the binomial formula. (Round your answer to 4 decimal places.)
(a) x = 4
Probability
(b) x = 5
Probability
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports they can resolve customer problems the same day they are reported in 74 percent of the cases. Suppose the 13 cases reported today are representative of all complaints.
(a-1) How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)
Number of Problems: 0.74*13 = 9.62
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(a-2) What is the standard deviation? (Round your answer to 4 decimal places.)
Standard Deviation = sqrt(13*0.74*0.26) = 1.5815
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(b) What is the probability 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)
P(x = 8) = 13C8(0.74)^8(0.26)^5 = binompdf(13,0.74,8) = 0.1375
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(c) What is the probability 8 or 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability binomcdf(13,0.74,9)-binomcdf(13,0.74,7) = 0.3549
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(d) What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability
I'll leave this last one to you.
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Cheers,
Stan H.
0 solutions
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Probability-and-statistics/342443 (2010-09-13 15:17:42): In a binomial situation n = 6 and .35. Determine the probabilities of the following events using the binomial formula. (Round your answer to 4 decimal places.)
(a) x = 4
Probability
(b) x = 5
Probability
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