The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.5 grams with a standard deviation of 0.13 grams.

For parts (a) through (c), enter your responses as a decimal with 4 decimal places. For part (d) round to 2 decimal places.

a) What is the probability that a randomly chosen mouse has a mass of less than 20.34 grams?

b) What is the probability that a randomly chosen mouse has a mass of more than 20.67 grams?

c) What proportion of mice have a mass between 20.39 and 20.57 grams?

d) 15% of all mice have a mass of less than grams. Round your answer to 2 decimal places.