A team of ornithologists determines that the daily intake of food for the pigeon population is normally distributed, with a mean daily intake of 30 grams and a standard deviation of 6 grams.

What is the probability that a randomly-observed pigeon will eat between 24 and 36 grams of food on a given day?

A particularly hungry pigeon eats 42 grams of food in one day. What percentile of daily food intake do 42 grams represent?

Assume that sparrows eat an average of 20 grams of food a day, with a standard deviation of 5 grams (and, like pigeons, the distribution of daily food intake in the population is normal).

One day in the bird lab, a sparrow eats 30 grams of food and a pigeon eats 39 grams of food.

Relative to the daily intake of their species, which bird ate more that day? Please briefly (in 1-2 sentences) explain your answer.