The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with probabilitydensity function defined byf(x) ==9.5 - x45Find the following probabilities for the annual rainfall in a randomly selected year. Round your answers to 4decimal places as needed.What is the probability that the annual rainfall is greater than 7 inches per year?What is the probability that the annual rainfall is less than 6 inches per year?What is the probability that the annual rainfall is between 6 and 8 inches per year?4

It is given that the probability density function for the annual rainfall value is given by below…

Answered: The annual rainfall in a certain…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A researcher recorded the number of shots made, X, out of 10 free throws by a sample of 1000 randomly selected college students. The table below is a probability distribution table representing the data collected. Calculate the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. x P(x) 0 0.01 1 0.01 2 0.02 3 0.04 4 0.03 5 0.05 6 0.21 7 0.29 8 0.21 9 0.08 10 0.05
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
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