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Using the binomial distribution, the mean and the standard deviation for the number of settled complaints among those received are given as follows:
- Mean: 160 complaints.
- Standard deviation: 5.66 complaints.
The binomial distribution gives the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial. These parameters will be used to find the mean and the standard deviation, with formulas that are presented next.
The mean is given as follows:
The standard deviation is given as follows:
Considering that a sample of 200 complains are chosen, each with an 90% probability of being settled, the parameters are given as follows:
n = 200, p = 0.8.
Hence the mean is:
The standard deviation is:
The problem states that 200 complaints were received, and asks for the mean and the standard deviation for the number of settled complaints among those received.
More can be learned about the binomial distribution at brainly.com/question/24863377
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