The amount of vegetables eaten by a family in a week is a random variable W kg. The probability density function is given by:
(a) Find the cumulative distribution function of W.
(b) Find the probability that the family eats between 2kg & 4kg of vegetables in one week.
(c) Verify that the amount, m, of vegetables such that the family is equally likely to eat more of less than m in any week is about 3.431 kg.
I have done part (a) & (b), and the answer of (b) is 0.650. But how could I verify (c)?