In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12receptionists is bell-shaped and has a mean of 53 and a standard deviation of 5. Using the empirical rule (aspresented in the book), what is the approximate percentage of daily phone calls numbering between 43and 637Do not enter the percent symbol.ansSubmit Question

Given,mean(μ)=53standard deviation(σ)=5Empirical rules:1) P(μ-σ<X<μ+σ)=68%2)…

Answered: In a mid-size company, the distribution…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
The heights of children ages 3-5 are approximately normally distributed with a mean of 40 inches and a standard deviation of 2.5 inches. What percent of children are between 39 and 42 inches?
In what percentile is an infant’s body weight of 7 pounds, if infant body weights at that age are normally distributed with mean 11 pounds, and standard deviation 2 pounds?
During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1527, 1532, 1504, 1517, 1528, and 1516. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1520. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? ..... (a) The mean is (Round to one decimal place as needed.) The median is (Type an integer or a decimal. Do not round.) (b) The mean is (Round to one decimal place as needed.) The median is (Type an integer or a decimal. Do not round.) (c) After correcting the error, the mean by and the median by The was affected more. (Round to one decimal place as needed.)
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
6. When the mean is used to measure the location of a set of observations, you would usually measure the spread or dispersion of the observations by giving the (a) correlation. (b) first and third quartiles. (c) five-number summary. (d) standard deviation.
1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?
The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. are younger than 30 years old? Round your answer to the nearest tenth of a percent.
Assume the hold time of callers to a cable company is normally distributed with a mean of 4.2 minutes and a standard deviation of 0.9 minute. Determine the percent of callers who are on hold between 2.7 minutes and 5.9 minutes.
During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1524, 1526, 1499, 1512, 1532, and 1514. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1518. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? (a) The mean is 1517.8. (Round to one decimal place as needed.) The median is 1519 (Type an integer or a decimal. Do not round.) (b) The mean is 1521 (Round to one decimal place as needed.) The median is 1521 (Type an integer or a decimal. Do not round.) (c) After correcting the error, the mean affected more. (Round to one decimal place as needed.) by and the median by The was

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