A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?arrow_forwardA study showed that females’ body temperatures are approximately normally distributed with a mean of 98.40F, and a population standard deviation of 0.700F. Find the female body temperature at the 90th percentile.arrow_forwardA machine produces glass with a nominal thickness of 4mm. In fact the thickness is a Normal random variable with mean 4.168mm and standard deviation 0.12mm. The thickness in mm which 5% of panes exceed is (2 d.p.)?arrow_forward
- The amount of beverage in a 16-oz bottle is normally distributed with a mean of16.2 oz and a standard deviation of 0.1 oz. Find the probability that the amount ofbeverage in a randomly select can is (a) between 15.5 and 16.2 oz, (b) more than16.4 oz, (c) less than 16.1 oz. NOTE: Please explain each part, so the problem can be used as a Study Guidearrow_forwardThe body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?arrow_forwardIn a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)arrow_forward
- The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°F. Using the empirical rule, find each approximate percentage below a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.77F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F? a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F. (Type an integer or a decimal. Do not round.)arrow_forwardThe population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.arrow_forwardThe blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)arrow_forward
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ISBN:9780134753119
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Publisher:PEARSON