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Suppose that X has a lognormal distribution and that the mean and variance of X are 50 and 4000, respectively Determine the following: (a) The parameters and 2 of the lognormal distribution (b) The probability that X is less than 150 4-134 Asbestos bers in a dust sample are identi ed by an electron microscope after sample preparation Suppose that the number of bers is a Poisson random variable and the mean number of bers per squared centimeter of surface dust is 100 A sample of 800 square centimeters of dust is analyzed Assume a particular grid cell under the microscope represents 1/160,000 of the sample.

(a) What is the probability that at least one ber is visible in the grid cell (b) What is the mean of the number of grid cells that need to be viewed to observe 10 that contain bers (c) What is the standard deviation of the number of grid cells that need to be viewed to observe 10 that contain bers 4-135 Without an automated irrigation system, the height of plants two weeks after germination is normally distributed with a mean of 25 centimeters and a standard deviation of 05 centimeters..

This is only an overview of these methods. Because there is a lot to talk about when it comes to regular expressions, I ve given them their own chapter. They are covered in greater detail in 12, Regular Expressions.

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private double getReadingCount 0 C double count = 0; for (int i = 0; i < targetReadings.1ength; i++) if (targetReadings [il ! = 0) count ++; return count;

(a) What is the probability that a plant s height is greater than 225 centimeters (b) What is the probability that a plant s height is between 20 and 30 centimeters (c) What height is exceeded by 90% of the plants 4-136 Continuation of Exercise 4-135 With an automated irrigation system, a plant grows to a height of 35 centimeters two weeks after germination (a) What is the probability of obtaining a plant of this height or greater from the distribution of heights in Exercise 4-135 (b) Do you think the automated irrigation system increases the plant height at two weeks after germination 4-137 The thickness of a laminated covering for a wood surface is normally distributed with a mean of 5 millimeters and a standard deviation of 02 millimeter (a) What is the probability that a covering thickness is greater than 5.

Sometimes you may need to pull a smaller string out of a larger one. For example, you might want to nd the rst eight characters of a string, or maybe you only care about the part of a line after a colon. ActionScript offers three methods for doing this: slice(), substr(), and substring(). All these methods are similar in intent. They vary only in the way they handle their two optional parameters.

5 millimeters (b) If the speci cations require the thickness to be between 45 and 55 millimeters, what proportion of coverings do not meet speci cations (c) The covering thickness of 95% of samples is below what value 4-138 The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0002 inch Suppose that the speci cations require the dot diameter to be between 00014 and 00026 inch If the probability that a dot meets speci cations is to be 09973, what standard deviation is needed 4-139 Continuation of Exercise 4-138 Assume that the standard deviation of the size of a dot is 00004 inch If the probability that a dot meets speci cations is to be 0.

and:

9973, what speci cations are needed Assume that the speci cations are to be chosen symmetrically around the mean of 0002 4-140 The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours (a) What is the probability that a laser fails before 5,800 hours (b) What is the life in hours that 90% of the lasers exceed 4-141 Continuation of Exercise 4-140 What should the mean life equal in order for 99% of the lasers to exceed 10,000 hours before failure 4-142 Continuation of Exercise 4-140 A product contains three lasers, and the product fails if any of the lasers fails Assume the lasers fail independently What should the mean life equal in order for 99% of the products to exceed 10,000 hours before failure 4-143 Continuation of Exercise 140.

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