Males in the Netherlands are the tallest, on average, in the world with an average height 183 of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.

a. What is the probability that a Dutch male is shorter than 175 cm (to 4 decimals)?

b. What is the probability that a Dutch male is taller than 195 cm (to 4 decimals)?

c. What is the probability that a Dutch male is between 173 and 193 cm (to 4 decimals)?

d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm (rounded to the nearest whole number)?