Check if the following function are valid probability distribution function for the range of x given. Use R for this pro

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Check if the following function are valid probability distribution function for the range of x given. Use R for this program. Make sure to check the properties are satisfied, to have this function being qualified to a be a probability distribution function. The function f(x) is defined as: f(x) = P(X = x)
f(x) = x2/57, for x = 1, 2, 3, 4, 5
f(x) = (x – 3)/10, for x = 3, 4, 5, 6,