For the coupled reactions given below:
Glucose 6-phosphate + H\(_2\)O → Glucose + Pi (Reaction 1)
ATP + Glucose → ADP + Glucose 6-phosphate (Reaction 2) The standard free energy change of ATP hydrolysis at 25 °C is __ kJ/mol.
The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively; Gas constant \( R = 8.314 \, {J mol}^{-1} {K}^{-1} \).
(Round off to two decimal places)
Let a random variable \( X \) follow Poisson distribution such that \( P(X = 0) = 2P(X = 1) \). Then, P(X = 3) = ______
The probability distribution of a random variable \( X \) is given as follows. Then, \( P(X = 50) - \frac{P(X \leq 30)}{P(X \geq 20)} \) =