Question

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 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 a-2. What is the standard deviation? (Round your answer to 4 decimal places.) Standard Deviation b. What is the probability 9 of the problems can be resolved today? (Round your answer to 4 decimal places.) Probability c. What is the probability 9 or 10 of the problems can be resolved today? (Round your answer to 4 decimal places.) Probability d. What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)

          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 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
a-2. What is the standard deviation? (Round your answer to 4 decimal places.)
Standard Deviation
b. What is the probability 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability
c. What is the probability 9 or 10 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability
d. What is the probability more than 8 of the problems can be resolved today? (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 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
a-2. What is the standard deviation? (Round your answer to 4 decimal places.)
Standard Deviation
b. What is the probability 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability
c. What is the probability 9 or 10 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability
d. What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Ana Carolina Da Cruz

03/12/2023

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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 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 a-2. What is the standard deviation? (Round your answer to 4 decimal places.) Standard Deviation b. What is the probability 9 of the problems can be resolved today? (Round your answer to 4 decimal places.) Probability c. What is the probability 9 or 10 of the problems can be resolved today? (Round your answer to 4 decimal places.) Probability d. What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)

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Transcript

00:01 So in this question we have here that 80 % of the cases are resolved on the same day.

00:09 So basically this means that the proportion of cases that is resolved on the same day is 80 or 0 .8.

00:18 Then let's say that we have 13 cases here to analyze.

00:22 In item a, we need to know what is the expected number of cases that will be resolved today.

00:31 So here, basically, what we are going to assume to answer these questions, that we have a binomial experiment where the variable that we are measuring here is the number of cases they are resolved today.

00:46 So basically, considering this, the expect number of cases that will be resolved today is given by n times p, according to the binomial distribution.

00:58 So this means that it's 13 times 0 .8.

01:01 Which is 10 .4 cases.

01:06 Now, in 8 .2, let's say that the first one was 8 .1, we want to find this standard of age.

01:13 So again, assuming this binomial experiment, basically we just need to compute this, the square root of n times p times 1 minus p.

01:24 So it will be 10 .4 times 0 .2, which is going to give us here, 1 .45.

01:32 For 22 cases as the standard deviation.

01:39 Now in item b, we want to find what is the probability the nine of these 13 will be resolved today.

01:46 So considering the binomial experiment, this is the same as computing this probability.

01:52 Out of the 13, we want nine of them to be resolved today.

01:58 So we need to compute the combination between these two values...

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