Based on a large number tests of silicon carbide samples used in dies, the true mean and true variance for Young's modulus have been established as 244 GPa and 1001 GPa respectively. Find the probabilities that the Young's modulus for a sample of this material will fall in each of the following intervals: a. between 300 GPa and 280 GPa b. between 190 GPa and 230 GPa c. between 200 GPa and 288 GPa d. between 100 GPa and 175 GPa