**Solution:**

**Assertion (A):** The sum and product of roots of the quadratic equation 2x^2 - 3x + 5 = 0 are 3/2 and 5/2, respectively.

**Reason (R):** If a and b are the roots of a quadratic equation ax^2 + bx + c = 0, then the sum of the roots is given by α + β = -b/a and the product of the roots is given by αβ = c/a.

Let's analyze the assertion and reason separately to determine their validity.

**Assertion (A) - Sum and Product of Roots:**

To find the sum and product of the roots of the given quadratic equation 2x^2 - 3x + 5 = 0, we can use the formulas:

Sum of Roots (α + β) = -b/a
Product of Roots (αβ) = c/a

Comparing the given equation with the standard form ax^2 + bx + c = 0, we have:
a = 2, b = -3, and c = 5

Substituting these values into the formulas, we get:
Sum of Roots (α + β) = -(-3)/2 = 3/2
Product of Roots (αβ) = 5/2

Therefore, the sum of the roots is 3/2 and the product of the roots is 5/2, which validates the assertion.

**Reason (R) - Sum and Product of Roots:**

The reason provided states that if a and b are the roots of a quadratic equation ax^2 + bx + c = 0, then the sum of the roots is α + β = -b/a and the product of the roots is αβ = c/a.

This reason is a general property of quadratic equations, and it can be proved using Vieta's formulas. Vieta's formulas state that for a quadratic equation ax^2 + bx + c = 0 with roots α and β, the following relationships hold:

α + β = -b/a
αβ = c/a

Thus, the reason is valid and supports the assertion.

In conclusion, both the assertion and the reason are valid. The sum and product of the roots of the given quadratic equation 2x^2 - 3x + 5 = 0 are indeed 3/2 and 5/2, respectively. The reason provided explains this property using Vieta's formulas, which are applicable to all quadratic equations.