PS 10 Find the indicated probability 7) DTE Energy found that the energy consump

Question

PS 10 Find the indicated probability 7) DTE Energy found that the energy consumption levels for single-family homes during the fall months are to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the fall energy consumption level is between 1100 kWh and 1225 kWh. 8) Greektown Casino has been dealing with a lot of fraud lately and now will only accept quarters weighing between 5.77 g and 5.83 g. Assume that the weights of the quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. What percentage of real quarters will be rejected? Is this a problem? Explain. B-2

Explanation / Answer

7)

hence probability of consumption level between 1100 and 1225 :

8)

as probability of getting rejected id relatively  high at 6.54% therefore this seems to be a problem

for normal distribution z score =(X-)/ here mean=       = 1050 std deviation   == 218.000

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