### Density function statements

True or False (1, 2) 1. If a continuous random variable X has zero mean, then its density f(x) has to be strictly positive at zero. 2. If f(x) is a density function on [0,1], then integral 0 to 1 f^2 (x) dx < infinity. 3. A density function is verbally described as follows: it is zero for x < 1, rises linearly between 1 a