4. Solar energy is considered by many to be the energy of the lture. 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 3bedroom house using gas or electric energy had a mean of $85 and a standard deviation of $8. (show work for full credit) 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? 0. 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 $1 02 (round to two decimal places). Is this value scientically high? Do you think this household should switch to solar? Briey explain