The variance is a measure of the dispersion of the random variable about the mean. Variance example 1. Consider the density function (p +1)æP 0 < x < 1 f(x) otherwise where p is greater than -1. compute the Var(X)
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- QI/ Experimental data for the heat capacity in cal/(g.mol)(°C) as a function of temperature is given as follow: Temperature (C) 3 7. Heat capacity 19.65 26.74 32.80 37.74 41.75 45.06 47.83 Fit the data to an empirical heat-capacity equation of the form [C, = a + bT + b;T), and compute the standard deviation.Let X-N(2,5). Let f be the density of this random variable. We want to evaluate in R f(6). Which of the following statements are true? The normal distribution N(2, 5) 0.08 - 0.06- 0.04 - 0.02 - 0.00 -10 10 The answer is The R instruction is dnorm(-2,2,5) Can you explain why ? Density f(x)Continuous random variables 6. A charity group raises funds by collecting waste paper. A skip-full will contain an amount, X of other materials such as plastic bags and rubber bands. X may be regarded as a random varibales with probability density funnction. All nmerical values are in units of 100kg. Find the Expected value and Standard deviation.Express your answer in 3 decimal place value f(x)= - c(x-1)(4-x) 0 for 1Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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