Question: solve questions 23,24,25,26 23. What is the probability density function of the average of two indepen dent random variable, each of which is normal with

solve questions 23,24,25,26

23. What is the probability density function of the average of two indepen dent random variable, each of which is normal with mean / and variance 24. Both roots of the quadratic equation r +or + 3 =0 can take all values from -1 to +1 with equal probabilities. What are the probability density functions of the coefficients o and B? 25. If A, B, C are independent random variables uniformly distributed on the interval from zero to one, then what is the probability that the quadratic equation Ar + Br + C = 0 has real solutions? 26. The price of a stock on a given trading day changes according to the distribution f(-1) = 2, f(0) = =, f(1) = =, and f(2) = =. Find the distribution for the change in stock price after two (independent) trading days

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