Compared to the annual rainfall from 1981-2008, the 309.36 mm of rainfall in Get

Question

Compared to the annual rainfall from 1981-2008, the 309.36 mm of rainfall in Getafe, Spain (near Madrid) in 2009 was more than 42.07% of the previous 28 years, but the 463.04 mm of rainfall in 2010 was more rainfall than 91.92% of those years. Calculate the amount of rainfall needed in the 2011 season to maintain the average established from 1981-2008 Getafe received 293.08 mm of rain in 2011. Calculate the percentile to accurately complete the statement below. 2011 saw more rainfall than % of the years from 1981-2008. Find the average annual rainfall from 1981 to 2011 to the nearest hundredth of a millimeter.

Explanation / Answer

You have 57.93% (100%-42.07%) below 309.36 mm --> 0.5793 --> z-Scores Table --> z = 0.2 You have 91.92% below 463.04 mm --> 0.9192 --> z-Scores Table --> z = 1.4 Using z = (x - mu)/sigma, you have 2 equations and 2 unknowns mu = 283.748 mm and sigma = 128.058 mm Answer A: 283.748 mm Answer B: z = (293.08 - 283.748)/128.058 = 0.73 --> 73% Answer C: (27*283.748 + 309.36 + 463.04 + 293.08)/30 = 290.89 m

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.