0.636 approx.
0.97
It is 0.1587
It is true because the distribution is symmetrical about Z=0.
The Normal curve is a graph of the probability density function of the standard normal distribution and, as is the case with any continuous random variable (RV), the probability that the RV takes a value in a given range is given by the integral of the function between the two limits. In other words, it is the area under the curve between those two values.
Approx 0.0027
It is 0.5
True. Due to the symmetry of the normal distribution.
0.97
It is 0.1587
It is true because the distribution is symmetrical about Z=0.
1
The Normal curve is a graph of the probability density function of the standard normal distribution and, as is the case with any continuous random variable (RV), the probability that the RV takes a value in a given range is given by the integral of the function between the two limits. In other words, it is the area under the curve between those two values.
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
It is the Standard normal variable.
Approx 0.0027
with mean of and standard deviation of 1.
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you