I need help with this statistics problem please. Thanks

1.A university graduate commutes to work. The amount of fuel she uses for each part of her commute are shown in the table. Now, let X represent the difference in the total amount of fuel she uses to drive to work and back home. Which among the followings is a correct statement?

MeanStandard Deviation

To Work9.8 L0.82

To Home9.2 L0.45

a. X is normally distributed with a mean 0.6 and a standard deviation 0.9354 liters

b. X is normally distributed with a mean 0.6 and a standard deviation 0.6855 liters

c. X is normally distributed with a mean 0.6 and a standard deviation 1.2700 liters

d. X is normally distributed with a mean 0.6 and a standard deviation 0.3700 liters

e. None of these

2.

Refer to the previous question. Find the probability that the difference in the total amount of fuel she uses to drive to work and back home will be greater than 1.25 liters.

a. 8.39 %

b. 10.22 %

c. 15.25 %

d. 24.36 %

e. none of these

3.

At a large university, the mean age of the students is 22 years, and the standard deviation is 4 years. A random sample of 32 students is drawn and its sample mean is computed. What is the probability that the mean age is lower than 21?

a. 7.86 %

b. 8.19 %

c. 12.05 %

d. 15.25 %

e. 40.13 %