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FM Dept Review Part 2 - Faculty Web Pages

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Lial 9 th Edition<br />

<strong>FM</strong> <strong>Dept</strong> <strong>Review</strong> P2 F09<br />

53. For the following set of numbers, find the median. 14, 16, 27, 12, 27, 17, 13 9.1.15<br />

54. For the following set of numbers, find the mode. 67, 69, 67, 75, 69, 64, 71<br />

If there is more than one mode, use a comma to separate the numbers. If there is no mode, write N for<br />

your answer. 9.1.25<br />

55. An assembly-line machine turns out washers with the following thicknesses (in millimeters). Find the mean<br />

and standard deviation of the thicknesses. Round your answers for the mean to 4 decimal places. Use that<br />

answer to find the standard deviation rounded to four decimal places. 9.2.27<br />

1.65, 1.21, 1.37, 1.93, 1.86, 1.38, 1.69, 1.56, 1.22, 1.77, 1.28, 1.98, 1.99, 1.96, 1.42, 1.71<br />

56. Suppose that the life expectancy of a certain brand of non-defective light bulbs is normally distributed, with<br />

a mean life of 1300 hours and a standard deviation of 50 hours. If 90,000 of these bulbs are produced, how<br />

many can be expected to last less than 1365 hours? 9.3.23<br />

57. An “average” jar of peanut butter contains 442 g with a standard deviation of 10.2g. Find the probability that<br />

a jar contains less than 430 g. Assume a normal distribution. Round your answer to four decimal places as<br />

needed. 9.3.40<br />

58. Suppose that 1000 coins are tossed. Find the probability of getting exactly 505 heads. Use the normal<br />

curve approximation to the binomial distribution. 9.4.7<br />

59. The probability that a part produced by a certain factory’s assembly line will be defective is 0.025. Suppose<br />

a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to<br />

the binomial distribution. 9.4.17<br />

a. Exactly 5 defectives<br />

b. No defectives<br />

c. At least 1 defective<br />

6

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