Final answer:
Statistics that have areas under the curve ranging from 0 to 1 and that cannot be negative, similar to the normal distribution, include the chi-square and F distributions, which are used to represent probabilities of outcomes within specific ranges.
Step-by-step explanation:
Statistics that share the same characteristics of the area under a normal curve being between 0 and 1, and never negative, includes probabilities in probability distributions. These characteristics are applicable to both the standard normal distribution, with a mean (μ) of zero and a standard deviation (σ) of one, and other probability distributions such as the chi-square distribution and the F distribution. Both of these distributions are always positive and provide probabilities that can be interpreted similarly to the normal distribution. In all cases, they are used to determine areas under the curve to represent probabilities associated with specific intervals or outcomes and correspond to the likelihood of random variables falling within certain ranges.