history indicates that there is an average of 2.62 bacteria colonies per field. Let r be...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.290 0.340 0.248 0.367 0.269 y 3.1 7.6 4. 0 8 .6 3.1 11.1 (a) Find Ex, 2y, Ex?, y2, Exy, and r. (Round r to three decimal places.) (b) Use...
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y 9.0 9.1 9.7 8.0 8.3 8.7 9.7 18.3 21.4 10.2 11.4 13.1 y Complete parts (a) through (e), given Ex = 52.8, Sy = 84.1, Ex2 = 466.48, y2 = 1292.55, Exy 0.796 751.6, and r (a) Draw a scatter diagram displaying the data Tools Actions...
15. -1.16 points BBUnderStat12 9.2.013. /100 Submissions Used My Notes Ask Your Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y Complete parts (a) through (e), given Σχ " 532, Σ,. 842 Σκ2 474 B, Zy2-1297 98Lxy 76404, and r #0921. (a) Draw a scatter diagram displaying the data Flash Player version 10 or higher...
In western Kansas, the summer density of hailstorms is estimated at about 1.5 storms per 5 square miles. In most cases, a hailstorm damages only a relatively small area in a square mile. A crop insurance company has insured a tract of 5 square miles of Kansas wheat land against hail damage. Let r be a random variable that represents the number of hailstorms this summer in the 5-square-mile tract. What is λ for the 5-square-mile tract of land? Round...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 44 33 47 23 40 34 52 y 32 20 26 13 29 17 21 14 Complete parts (a) through (e), given Σx = 302, Σy = 172, Σx2 = 12,064, Σy2 = 4036, Σxy = 6066, and r ≈ −0.902. (a) Draw...
At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.3. Suppose you are going to dig up and examine 42 liters of sediment at this site. Let r = 0, 1, 2, 3, ... be a random variable that represents the number of prehistoric artifacts found in your 42 liters of sediment. (a) Explain why the Poisson distribution would be a good choice for the...
In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into 0.25-kmregions. They then counted the number of rockets that landed in each region, with the results shown in the table below. Complete parts (a) through (e). Number of rocket hits 0 1 2 3 4 5 6 7 Observed number of regions 221 215 100 32 8 0...
According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.18 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. Part (a) In words, define the random variable X. the number of taxpayers sampled the length of time, in minutes, for an individual to complete...