According to the records of an electric company serving the Boston area, the mean electric consumption for all households during
1 answer:
Answer:
P(1833 < X < 1975) = 7.55%
Step-by-step explanation:
From the given information:
Let X be the random variable that obeys a normal distribution and which represents the monthly electric consumption during winter by all households in the Boston area.
X N ( μ = 1650 , σ² = 320² )
The probability that a monthly consumption of 1883 to 1975 kilowatt is given as:
P(1833 < X < 1975) = P(Z< 1.0156) - P(Z< 0.738)
P(1833 < X < 1975) = 0.8452 - 0.7697
P(1833 < X < 1975) = 0.0755
P(1833 < X < 1975) = 7.55%
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