The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation on $3,500. The prices of the car are normally distributed. a. If someone buys a car for $32,000, what proportion of cars cost an equal amount or more than this? b. If someone buys a car for $16,000, what proportion of cars cost an equal amount or more than this?

(a) 0.0051

(b) 0.9773

Step-by-step explanation:

Let X = prices of the car.

It is provided that .

(a)

Compute the value of P (X ≥ 32000) as follows:

Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.

(b)

Compute the value of P (X ≥ 16000) as follows:

Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.

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