et X1 and X, have the joint pdf a+ ,0 < a <1,0< <1 10, otherwise, f(1, a) %D ompute the probability P(X1 + X2 ).
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- Suppose that f(x)=2/(3^x), x=1,2,3,... is the probability function for a random variable X. Find P(X>3). Use 4 decimal places.Please show all work when answering this question. This is an ungraded question that is used for review so please help. This question refers to probabilityThe first four moments about the mean, are 0, 8, -144 and 14817 calculate the skewness based on moments and AND kurtosis ?
- Please help me with these. These are connected questions so I hope you can help me by showing the complete solution.Let X ~ Uniform(a, b). Find Expected value EX.The time until a chemical reaction is complete (in milliseconds) is approximated by cumulative distribution function F(2) = { ,"ani 0lz The probability that a reaction completes within 400 milliseconds is
- Question 1.2 Consider the function f (x) = (1/24(x^2 +1) 1 < or = x < or = 4) = (0 otherwise) Calculate P (x = 3) Calculate P (2 < or = x < or = 3) Question 1.3 Consider the function f (x) = (k - x/4 1 < or = x < or = 3) = (0 otherwise) which is being used as a probability density function for a continuous random variable x? a. Find the value of K b. Find P (x < or = 2.5)In finance, one example of a derivative is a financial asset whose value is determined (derived) from a bundle of various assets, such as mortgages. Suppose a randomly selected mortgage in a certain bundle has a probability of 0.06 of default. (a) What is the probability that a randomly selected mortgage will not default? (b) What is the probability that four randomly selected mortgages will not default assuming the likelihood any one mortgage being paid off is independent of the others? Note: A derivative might be an investment that only pays when all four mortgages do not default. (c) What is the probability that the derivative from part (b) becomes worthless? That is, at least one of the mortgages defaults. (a) The probability is (Type an integer or a decimal. Do not round.)How do find the E[X^2].