The output is 1, only if one of the inputs is odd. All the possible combinations when one of inputs is odd are X = 1, Y = 0, Z = 0 X = 0, Y = 1, Z = 0
X = 0, Y = 0, Z = 1
For these combination output is 1, otherwise output is 0. Preparing the truth table for it, we get
Adding all the minterms for which output is 1, we get
X’Y’Z + X’YZ’ + XY’Z’= F
This is desired Canonical Sum-of-Products form.