3.In her first semester of college Sarah took five courses. Her final grades, along with the number of credits for each course, were B (2 units), A (4 units),B (1 units), D (3 units), F(3 units), B (3units). The grading system assigns quality points to letter grades as follows: A = 4; B = 3; C =2; D = 1; F = 0.

Compute her grade-point average.

4.Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the sample survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $85 and a standard deviation of $8.

a.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility bill of less than $101?

b.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility bill of less than $109?

c.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility bill of above $109?

d.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility bill between $69 and 101?

e.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility bill between 61 and 71?

f.If the distribution can be considered bell-shaped, what percentage of homes will have a monthly utility below the mean?

g.What would be the z-score for a monthly utility bill of $102(round to two decimal places). Is the value scientifically high? Do you think this household should switch to solar? Briefly explain.

5.After the LA marathon two runners where comparing their z-score. Runner one had a z-score of 1.34 and runner two had a z-score of 1.24. Which runner had a better time?

6.What does it mean if you were to get a z score of zero?

7.What does it mean to get a range of zero?

8.What does it mean to get a standard deviation of zero?