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Suppose X has a distribution with mean 10

3. Suppose X has a distribution with mean 10 and variance 4, Y has a distribution with mean 20 and variance 9. We do not know whether X and Y are independent. However, we CAN still find the variance of X+Y with only the information we are given.TrueFalse1. If X is a continuous random variable, which of the following conditions does NOT need to be checked to verify that f(x) is a legitimate probability distribution function?f(x) must be greater than or equal to 0f(x) must be less than or equal to 1f(x) must integrate to 1All of the above must be checked2. Suppose X has a distribution with mean 10 and variance 4, Y has a distribution with mean 20 and variance 9. You can find the mean of X + Y with this information.TrueFalse

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