l 4. Solar energy is considered by many to be the energy of the itnre. A recent survey was taken to compare the oost 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 $35 and a standard deviation of $3. (show work for ill credit) a. If the distribution can he considered hell shaped, what percentage of homes will have a monthly utility bill ofless than $1131? b. If the distribution can he considered bell shaped, what percentage of homes will have a monthly utility hill of less than $1139? c. If the distribution can he considered bell shaped, what percentage of homes will have a monthly utility hill of above $199? d. If the distribution can he considered hell shaped, what percentage of homes will have a monthly utility hill between $59 and 101? e. If the distribution can be considered bell shaped, what percentage of homes will have a monthly utility bill between 61 and T1? f. If the distribution can he considered hell shaped= what percentage of homes will have a monthly utility below the mean?r g. What would be the z-score for a monthly utility bill of $102 (round to two decimal places). Is this value scientifically high? Do you think this household should switch to solar? Briefly explain