Question-1a. If the distribution of temperature of a given volume of gas is normally with mean of 400 andvariance of 1640 measured in degree Fahrenheit, find:I. The probability that the temperature of such volume of gas is greater than 450 FºII. The probability that the temperature of such volume of gas is between 335 F° and 380 FºIII. The temperature at which exceeded 83 % of yolume of gases.The pLURTHOMANNE

GivenMean(μ)=400variance(σ2)=1640standard deviation(σ)=1640

Answered: Question-1 a. If the distribution of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4) A set of measurements is given as follows. X = [0.1, 0.3, 0.8, 12,4, 7,9] We want to approximate the source of this data with Gamma distribution, i.e., X~Gamma(a, B). For Gamma distribution, the mean and variance can be found from the below equations. a Hx a o = Find the parameters of Gamma distribution to fit the data. Come up with two other distributions that you think are good representation of this data. Justify your answer.
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Please help me answer A.
The data represents the heights of eruptions by a geyser. Height of eruption Use the heights to construct a stemplot. Is there strong evidence suggesting that the data are not from a population having a normal distribution? (in.) 97 110 150o 140 110 100 130 110 128 137 116 126 117 123 123 120 130 130 107 141 OA. OB. OC. 9|077 10 0 6 6 11 00S 12 0 0 3 13 003 14 007 15 0 1 9|7 10 0 3.3 6 6 S 11 |0 00 7 12 0 0 1 13 0077 14 0 15 0 9 7 10 0 7 11 00067 12 03368 13 0007 14 01 15 0 Is there strong evidence suggesting that the data are not from a population having a normal distribution? O A. Yes, the distribution is not dramatically far from being a normal distribution with a "bell" shape, so there is strong evidence against a normal distribution. O B. No, the distribution is dramatically far from being a normal distribution with a "bell" shape, so there is not strong evidence against a normal distribution. O D. No, the distribution is not dramatically far from being a normal distribution with…
7. Assume that X and Y have a bivariate normal distribution having means 14.l and 1.3, and standard deviations 2.5 and 0.1, respectively, with correlation coefficient 0.8. Find P(Y >1.4|X =15) and P(X >15|Y = 1.4).
A sample is selected from a normal population with a mean of µ = 40. If the sample mean is M = 45, which of the following combinations would make the sample mean an extreme, unrepresentative value for the population
7. Ecological Applications study on the development following wildfires in the Pacific Northwest. One variable of interest to the researcher was tree diameter at breast height 110 years after the fire. The population of Douglas fir trees was shown to have an approximately normal distribution with mean tree diameter ? = 50 centimeters (cm) and ? = 14 cm. Find the diameter, d, such that 20.9% of the Douglas fir trees in the population have diameters that exceed d. published a of forests

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