Question

The average cost of six month Georgia auto insurance in 2018 was $880. Assume the standard deviation is σ = $80. When determining the probability of a value within $100 of the population mean, what would be the representation of the problem in statistical terms?

P (600 < x < 800)

P (780 < x < 980)

P (800 < x < 1,000)

P (850 < x < 1,050)

Answer 1

Here

Answer 2

The representation of the problem in statistical terms would be:

P (μ - $100 < x < μ + $100)

where:

• μ represents the population mean, which is $880 in this case.

So, in statistical terms, the problem can be represented as finding the probability of the auto insurance cost (x) falling within $100 of the population mean.