A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the 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 $97 and a standard deviation of $10. If the distribution can be considered mound-shaped and symmetric, what percentage of homes will have a monthly utility bill of more than $87

The percentage  of homes will have a monthly utility bill of more than $87

P(X>87) = 0.8413 X 100 = 84.13%

Step-by-step explanation:

Explanation:-

Given Mean of the Population =97

Standard deviation of the Population = 10

Let 'X' be the random variable in normal distribution

      Z= -1

The probability that  homes will have a monthly utility bill of more than $87

P(X>87) = P( Z>-1) = 0.5 + A(-1)

                            = 0.5 + A(1)     (∵A(-1)=A(1)

                           =0.5 +  0.3413

                           = 0.8413

The percentage  of homes will have a monthly utility bill of more than $87

P(X>87) = 0.8413 X 100 = 84.13%

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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step-by-step explanation: