how to calculate e x 2 For a random variable X E X 2 E X 2 iff the random variable X is independent of itself This follows from the property of the expectation value operator that E XY E X E Y iff X and Y are independent random variables
Expected Value of a Function of X To find E f X where f X is a function of X use the following formula E f X S f x P X x Example For the above experiment with the die calculate E X 2 Using our notation above f x x 2 f 1 Well the good news is that if you can find E X you should be able to find E X2 Given that you have a 2 stage discrete process perhaps it would help you to visually chart out the possibilities for S You should be able to then see how to calculate
how to calculate e x 2
how to calculate e x 2
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E X From A Pdf S2 Edexcel January 2013 Q7 b ExamSolutions
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Calculus Verify The Given Function Including The Integral e x 2
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We use e in the natural exponential function e e power x In the e function the slope of the tangent line to any point on the graph is equal to its y coordinate at that point 1 1 n is the sequence that we use to estimate the value of e The sequence gets closer to e the larger n is To find the expected value E X or mean of a discrete random variable X simply multiply each value of the random variable by its probability and add the products The formula is given as E X x P x E X x P x
Now we calculate the variance and standard deviation of X by first finding the expected value of X 2 text E X 2 int limits 1 0 x 2 cdot x dx int limits 2 1 x 2 cdot 2 x dx int limits 1 0 x 3 dx int limits 2 1 I now show you the similarity of the function E X to E X and how to calculate it from a probability distribution table for a discrete random variable X The leading AI learning platform for exam preparation
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What are E X and Var X E X is the expected value or mean of a random variable X E X is the same as the population mean so can also be denoted by Var X is the variance of the continuous random variable X Standard deviation is the square root of the variance A common trick is to use the variance to back out E X 2 as follows Var X E X 2 E X 2 iff E X 2 Var X E X 2 For a random variable X that follows a geometric distribution we have mean E X frac 1 p and Var X frac 1 p p 2 for some success probability p
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how to calculate e x 2 - We use e in the natural exponential function e e power x In the e function the slope of the tangent line to any point on the graph is equal to its y coordinate at that point 1 1 n is the sequence that we use to estimate the value of e The sequence gets closer to e the larger n is