Question

The speed with which utility companies can resolve problems is very important. The Georgetown Telephone Company (GTC), reports that it can resolve customer problems the same day they are reported in 68% of the cases. Suppose that the 16 cases reported today are representative of all complaints.

**a-1.**
How many of the problems would you expect to be resolved today?
**(Round the final answer to 2 decimal places.)**

Number of Problems

**a-2.**
What is the standard deviation? **(Round the final answer to
4 decimal places.)**

Standard Deviation

**b.**
What is the probability that 11 of the problems can be resolved
today? **(Round the final answer to 4 decimal
places.)**

Probability

**c.**
What is the probability that 11 or 12 of the problems can be
resolved today? **(Round the final answer to 4 decimal
places.)**

Probability

**d.**
What is the probability that more than 11 of the problems can be
resolved today? **(Round the final answer to 4 decimal
places.)**

Probability

Answer #1

p = 0.68

n = 16

A-1) expected value = n * p = 16 * 0.68 = 10.88

A-2) standard deviation = sqrt(n * p * (1-p)) = sqrt(16 * 0.68 * 0.32) = 1.8659

B) P(X = 11) = 16C11 * 0.68^{11} * 0.32^{5} =
0.2107

C) P(X = 11 or 12) = P(X = 11) + P(X = 12)

= 0.2107 + 16C12 * 0.68^{12} * 0.32^{4}

= 0.2107 + 0.1865

= 0.3972

D) P(X > 11) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)

= 16C12 * 0.68^{12} * 0.32^{4} + 16C13 *
0.68^{13} * 0.32^{3} + 16C14 * 0.68^{14} *
0.32^{2} + 16C15 * 0.68^{15} * 0.32^{1} +
16C16 * 0.68^{16} * 0.32^{0}

= 0.3819

The speed with which utility companies can resolve problems is
very important. The Georgetown Telephone Company (GTC), reports
that it can resolve customer problems the same day they are
reported in 69% of the cases. Suppose that the 15 cases reported
today are representative of all complaints.
a-1. How many of the problems would you expect
to be resolved today? (Round the final answer to 2 decimal
places.)
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a-2. What is the standard deviation?
(Round...

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he speed with which utility companies can resolve problems is
very important. The Georgetown Telephone Company (GTC), reports
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today are representative of all complaints. a-1. How many of the
problems would you expect to be resolved today? (Round the final
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very important. GTC, the Georgetown Telephone Company, reports it
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you expect to be resolved today? (Round your answer to 2 decimal
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very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 75%
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How many of the problems would you expect to be resolved today?
(Round your answer to 2 decimal places.)
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decimal places.)
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The speed with which utility companies can resolve problems is
very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 66%
of the cases. Suppose the 16 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
a-2.
What is the standard deviation? (Round your answer to...

The speed with which utility companies can resolve problems is
very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 80%
of the cases. Suppose the 15 cases reported today are
representative of all complaints.
a-1. How many of problems would you expect to
be resolved today? (Round your answer to 2 decimal
places.)
a-2. What is the standard deviation?
(Round your answer to 4 decimal places.)
What is the...

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very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 80%
of the cases. Suppose the 15 cases reported today are
representative of all complaints.
a. How many of problems would you expect to be
resolved today? (Round your answer to 2 decimal
places.)
b. What is the standard deviation
(Round your answer to 4 decimal places.)
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The speed with which utility companies can resolve problems is
very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 80%
of the cases. Suppose the 15 cases reported today are
representative of all complaints.
a-1. How many of problems would you expect to
be resolved today? (Round your answer to 2 decimal
places.)
a-2. What is the standard deviation?
(Round your answer to 4 decimal places.)
What is the...

The speed with which utility companies can resolve problems is
very important. GTC, the Georgetown Telephone Company, reports it
can resolve customer problems the same day they are reported in 70%
of the cases. Suppose the 14 cases reported today are
representative of all complaints.
a-1. How many of problems would you expect to
be resolved today? (Round your answer to 2 decimal
places.)
a-2. What is the standard deviation?
(Round your answer to 4 decimal places.)
What is the...

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