Please provide step-by-step solution. Thank you.

QUESTION The function below shows the probability (as a percentage) of rain over a 24 hour period where t = 0 represents 6am: P(t) = 11t (In 0.06t)2 a) Determine the probability of rain at 5pm b) Determine the times at which it is most AND least likely to rain and calculate the probabilities of rain at those times c) Solve the equation P"(t) = 0 and explain the significance of your result in the context of this