Which are the true statements about normal probability distribution?

The distribution has one mode and has positive skew. The random variable takes any value. The distribution has one mode and is bell shaped. The random variable does not take any value. It takes discrete values like the binomial distribution. Standardizing an observation of any normal distribution allows the use of the standard normal (Z) distribution tables. The area under the bell curve is 1 exactly. The mean, median, and mode are equal