# the normal distribution i and ii

Review the attached car data set. This data set is normally distributed using the mean and SD calculated.

1. For the next 4 cars that are sampled, what is the probability that the price will be ** less than** $500 dollars below the mean? Make sure you interpret your results.

Please note: we are given a new sample size, we will need to calculate a new SD. Then, to find the value that is $500 below the mean you will need to take the mean and subtract $500 from it. For example, if the mean is $15,000 then $500 below this would be $14,500. Thus the probability you would want to find is P(x < 14,500).

2. For the next 4 cars that are sampled, what is the probability that the price will be ** higher than** $1000 dollars above the mean? Make sure you interpret your results. Use the same logic as above. If your mean is $15,000 then $1,000 above is 15,000 + 1,000 = $16,000. Thus the probability you would want to find is P(x > 16,000).

3. For the next 4 cars that are sampled, what is the probability that the price will be ** equal** to the mean? Make sure you interpret your results. Use the same logic as above.

4. For the next 4 cars that are sampled, what is the probability that the price will be $1500 ** within** the mean? Make sure you interpret your results. Use the same logic as above.