Answer:
The percentage that a new car is expected to have a sticker price of between $31,600 and $40,600 is 81.86%.
Step-by-step explanation:
The random variable <em>X</em> is defined as the value of new cars at a local dealership.
The mean of the random variable <em>X</em> is, <em>μ</em> = $34,600 and the standard deviation is, <em>σ</em> = $3,000.
The random variable <em>X</em> is normally distributed.
Compute the probability that a new car is expected to have a sticker price of between $31,600 and $40,600 as follows:
The percentage is, 0.8186 × 100 = 81.86%.
Thus, the percentage that a new car is expected to have a sticker price of between $31,600 and $40,600 is 81.86%.