Consider the accompanying observations on stream flow (1000s of acre-feet) recorded at a station in Colorado for the period April 1-August 31 over a 31-year span.150.5866.24117.6489.59204.91108.91185.36210.07109.11117.70285.37280.55299.8758.86100.8594.33125,86302.74311.13151.32247.11203.24127.96330.33114.79145.11262.09200.19493.80111.78133.86An appropriate probability plot supports the use of the lognormal distribution as a reasonable model for stream flow.(a) Estimate the parameters of the distribution. [Hint: Remember that X has a lognormal distribution with parameters u and o? if In(X) is normally distributed withmean u and variance o2.] (Round your estimate for the mean to three decimal places, and round your estimate for the variance to four decimal places.)62 =(b) Use the estimates of part (a) to calculate an estimate of the expected value of stream flow. [Hint: What is E(X)?] (Round your answer to two decimal places.)thousand acre-feet

Introduction: Denote X as the stream flow (thousand acre-feet) in the period between April 1 and…

Answered: Consider the accompanying observations…

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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When water flows across farmland, some soil is washed away, resulting in erosion. An experiment was conducted to investigate the effect of the rate of water flow (liters per second) on the amount of soil (kilograms) washed away. The data are given in the following table: Flow rate 0.31 0.85 1.26 2.47 3.75 Eroded soil 0.82 1.95 2.18 3.01 6.07 Let xx represent the flow rate variable and yy represent the variable for soil eroded. Then \bar x = 1.73, s_x = 1.38, \bar y = 2.81, s_y = 1.99xˉ=1.73,sx=1.38,yˉ=2.81,sy=1.99 Use this to complete the following calculation of the correlation coefficient for these data. r = \frac{1}{n-1}\left[\left(\frac{x_1 - \bar x}{s_x}\right)\left(\frac{y_1 - \bar y}{s_y}\right) + \left(\frac{x_2 - \bar x}{s_x}\right)\left(\frac{y_2 - \bar y}{s_y}\right) + \cdots + \left(\frac{x_n - \bar x}{s_x}\right)\left(\frac{y_n - \bar y}{s_y}\right)\right]r=n−11[(sxx1−xˉ)(syy1−yˉ)+(sxx2−xˉ)(syy2−yˉ)+⋯+(sxxn−xˉ)(syyn−yˉ)]…
No. Emp. No. Prod. Wkrs. Value Added by Mfg. Cost of Materials Value of Indus. Shipmnts New Cap. Exp. End Yr. Inven. Indus. Grp. 433 370 23518 78713 4 1833 3630 1 131 83 15724 42774 4 1056 3157 1 204 169 24506 27222 4 1405 8732 1 100 70 21667 37040 4 1912 3407 1 220 137 20712 12030 4 1006 1155 1 89 69 12640 13674 3 873 3613 1 26 18 4258 19130 3 487 1946 1 143 72 35210 33521 4 2011 7199 1 171 126 20548 19612 4 1135 3135 1 21 15 23442 5557 3 605 5506 2 3 2 287 163 1 2 42 2 2 2 1508 314 1 15 155 2 6 4 624 2622 1 27 554 2 52 47 2471 4219 2 292 929 3 74 63 4307 5357 2 454 1427 3 13 12 673 1061 1 20 325 3 17 13 817 707 1 84 267 3 169 147 8986 10421 3 534 2083 3 51 41 3145 4140 2 220 697 3 55 44 4076 7125 2 176 1446 3 84 76 3806 8994 2 423 1014 3 61 47 4276 5504 2 464 1291 3 27 22 1239 716 1 22 356 4 200 178 9423 8926 3 200 2314 4 294 250 11045 11121 3 189 2727 4 38 32 1916 2283 1 29 682 4 17 14 599 364 1 21 197 4 34 28 2063 1813 1 20…
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Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (g/L) 2.9 0.2 5.1 4.2 5.5 1.2 0.133 0.774 0.214 0.671 0.444 0.234 0.357 0.761 0.176 0.888 (a) Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment. OSMOSO copper (mg/L) 0.3 1.3 4.9 1.7 (b) Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment. OSHSO
Please clearly state the formulas used and the complete solution. Thank you!
1.40 Continuous or Discrete? Identify each variable as continuous or discrete: EX a. Number of homicides in Detroit during a one-month period b. Length of time between arrivals at an outpatient clinic c. Number of typing errors on a page of manuscript d. Number of defective lightbulbs in a package containing four bulbs e. Time required to finish an examination
Consider the two tables of quantities and prices: Quantities: Food & Transport Clothing Price: Food & Beverages Clothing 2010 2011 2012 20 35 25 29 35 40 37 2010 2011 2012 40 47 33 43 47 Compute the Paasche index for 2012 using 2010 as the base year. (1 d.p.)
2. The following table compares dollar values per standard cord (128 cubic feet) to values per thousand board-feet (MBF) under the Scribner scale for trees 12 inches in diameter. Value per cord $20 $24 $28 $36 Value per MBF Scribner $68.00 $81.60 $95.20 $122.40 a. Make a table showing the average rate of change for each interval of values. b. Would you expect the value per MBF Scribner to have a limiting value? C. If you are selling timber from trees 12 inches in diameter, which is the better price: $25 per cord or $71 per MBF Scribner? What if you are buying the timber?
Suppose seafood price and quantity data for the years 2000 and 2009 follow. Use 2000 as the base period. 2000 2009 Seafood 2000 Qty. (lb) Price ($/lb) Price ($/lb) Halibut 75,190 2.01 2.43 Lobster 83,180 3.72 3.09 Tuna 50,779 1.87 1.97 (a) Compute a price relative for each type of seafood. (Round your answers to one decimal place.) Seafood Price Relative Halibut Lobster Tuna L (b) decimal place.) pute a weighted aggregate price index for the seafood catch. (Round your answer to 2009 = Comment on the change in seafood prices over the nine-year period. (Enter your percentage as a positive value. Round your answer to one decimal place.) Seafood prices have increased by % over the 9-year period according to the index.
I need handwritten only otherwise skip handwritten i swear
The data below is provided by the local ice-cream shop that keeps track of how many ice-creams aresold versus the temperature on that day. Here are the figures for the last 7 days. Let x; represent thetemperature ofthe respective days and let /; represent the ice cream sales on the respective days'Day I 2 3 4 5 6 7Ice cream Temp oC 14.2 16.4 l l.9 15.2 18.5 22.1 19.4Sales (N$) 215 325 185 332 406 s22 412Required:i. Compute and interpret the sample covarianceii. Compute and interpret the sample correlation coefficient
The casino game, roulette, allows the gambler to bet on the probability of a ball, whichspins in the roulette wheel, landing on a particular color, number, or range of numbers. Thetable used to place bets contains of 38 numbers, and each number is assigned to a color anda range. Compute the probability of winning the following types of bets:a. Betting on two lines that touch each other on the table as in 1-2-3-4-5-6b. Betting on three numbers in a line, as in 1-2-3c. Betting on one numberd. Betting on four numbers that touch each other to form a square, as in 10-11-13-14

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