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 3 inches per year?What is the probability that the annual rainfall is less than 2 inches per year?What is the probability that the annual rainfall is between 2 and 4 inches per year?

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Answered: The annual rainfall in a certain…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
Draw a probability curve with your answer
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
parts c and d please needed ASAP thank you in advance.
Find the value of X (Left Tailed Probability of 0.5) for v1 = 10 and v2 = 20 degrees of freedom.
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le

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