The lengths of carrots grown at a local farm vary according to a distribution that is approximately normal, with a mean of 7 inches and a standard deviation of 1.5 inches. Approximately what percent of the carrots are less than 4 inches long?
Answer Choices
2.3
5.0
95.0
97.7
The lengths of carrots grown at a local farm vary according to a distribution that is approximately normal, with a mean of 7 inches and a standard deviation of 1.5 inches. Approximately what percent of the carrots are less than 4 inches long?
7- 2*1.5 = 4
so 4 inches is 2 standard deviations below the mean.
95% of all carrots lie withing 2 SD of the mean SO 5% lie outside that range
SO
Half of thoes will be at the bottom of the carrots sizes. So 2.5% of the carrots will be smaller than 4 inches long
2.3% is the closest answer