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 large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
For what model are the following expressions the cumulative probability distribution for response? What is the meaning of the ; ? Pr(Y, 5 j\x)= Pr(5, S a, \x) = Pr(a + B* + + Bixu + &; < a;\x) = Pr(ɛ, sa;-a- B,xX1 -…-- B;Xx |x)
If a random variable that follows exponential distribution shows that P(X2000)=0.4, Then P(30002000) is: Select one: a. 0.3535 b. 0.3795 C. 14 0.3098 d. 0.2510 е. 0.3834
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, l'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not P(x) 0.001 1. 0.007 0.031 satisfied. 0.061 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x's number values are not associated with probabilities. O C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. O E. No, the sum of all the probabilities is not equal to 1.
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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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The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 17 minutes.What is the probability that washing dishes tonight will take me between 12 and 16 minutes?Give your answer accurate to two decimal places.
The discrete random variable X has the probability distribution given by: -1 1 3 P(X=x) 0.2 0.4r 0.2 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the variance of the random variable Y, where Y = 6 – 2X Answer in exact fraction or exact decimals

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