ࡱ> KMJ)`  bjbjUU ;F?? , ,m8@@@@@@@@$h @@@@@@@'@:@@@@4 PX!\nz:0=0mF,@@@@@@@ @@@m@@@@,,, 0 d,,,0 ,,, The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. What percentage of children have a cholesterol level above 200 mg/dl? Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. In healthy Alaskan brown bears, the amount of porphyrin in the bloodstream (in mg/dl) has approximate normal distribution with a mean of 38 mg/dl and a standard deviation of 12. What proportion of these bears have between 27.5 and 67.5 mg/dl porphyrin in their bloodstream? A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet. Assume that these amounts have approximately a normal distribution. What proportion of trees contains more than 150 cubic feet? GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34. What proportion of freshman biology majors have GPA above 3.50? Mensa is an organization whose members possess IQs in the top 2% of the population. If the IQs are normally distributed with a mean of 100 and a standard deviation of 15, what is the minimum IQ necessary for admission? Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz. The distribution is approximately normal. A kitten is designated as dangerously underweight when, at 10 weeks, it weighs less than 10.0 oz. What proportion of healthy kittens will designated as dangerously underweight? 0.237549.150.9620.8022130.80.0319The length of the elephant pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 525 days and standard deviation 32 days. What percent of pregnancies last between 510 and 540 days (thats between 17 and 18 months)? At two years of age, sardines inhabiting Japanese waters have a length distribution that is approximately normal with mean 20.20 cm and standard deviation 0.65 cm. What proportions of these sardines are between 19.0 and 21.0 cm long? A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications? GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34. Students are thrown out of school if their GPA falls below 2.00. What proportion of all freshman biology majors are thrown out? The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. How high are the levels for the highest 2% of all children? A manufacturer of bulbs for movie projectors advertises a life of 50 hours. A study of these bulbs indicates that their lives are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. What is the percentage of bulbs that fail to last as long as the manufacturer claims? 0.36080.00290.07300.8584246.90.0053A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet. Assume that these amounts have approximately a normal distribution. What proportion of trees contains between 175 and 190 cubic feet? In studying ocean conditions, the Bureau of Fisheries found that for one location, the August water temperatures (in degrees Fahrenheit) were normally distributed with a mean of 83.6 and a standard deviation of 2.4. For a randomly selected time in August, find the probability that the water temperature is between 83.6 and 87.0. Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz. The distribution is approximately normal. What are the first and third quartiles of the kitten weights? (25% of the kitten weighs less than Q1; 75% weigh more. 75%of the kittens weigh less that Q3; 25% weigh more) What is the interquartile range (IQR) for the kitten weights? The length of the elephant pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 525 days and standard deviation 32 days. How short do the shortest 10% of all the pregnancies last?At two years of age, sardines inhabiting Japanese waters have a length distribution that is approximately normal with mean 20.20 cm and standard deviation 0.65 cm. How long are the longest 15% of all these sardines? A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. 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