- #1
Cpt Qwark
- 45
- 1
Homework Statement
How does P(-1<Z<1) equal to 1-2P(Z>1)?
(So you can find the values on the Normal Distribution Table)
Homework Equations
The Attempt at a Solution
I tried P(-1+1<Z+1<1+1) but ended up with P(1<Z+1<2).
The standard normal curve is symmetrical about a mean value μ = 0 like this:Cpt Qwark said:Homework Statement
How does P(-1<Z<1) equal to 1-2P(Z>1)?
(So you can find the values on the Normal Distribution Table)
Homework Equations
The Attempt at a Solution
I tried P(-1+1<Z+1<1+1) but ended up with P(1<Z+1<2).
A normal distribution is a statistical concept that describes the distribution of a set of data in a bell-shaped curve. It is a symmetrical distribution with a mean, median, and mode all being equal. Many real-world phenomena, such as height and IQ, follow a normal distribution.
Inequalities in normal distributions refer to the differences in the spread or shape of the distribution. This can occur when comparing two or more groups within the same distribution, or when comparing different distributions. Inequalities can be seen in the standard deviation, skewness, or kurtosis of the data.
Inequalities in normal distributions can greatly impact data analysis. For example, if there is a large difference in standard deviation between two groups within a distribution, it may indicate that the groups are significantly different. This can also affect the validity of statistical tests and the interpretation of results.
Inequalities in normal distributions can be caused by a variety of factors, such as sampling bias, outliers, or natural variation in the data. It is important to thoroughly examine the data and consider these factors when analyzing inequalities in a normal distribution.
Inequalities in normal distributions can be addressed by using appropriate statistical tests and techniques, such as non-parametric tests, when the data does not meet the assumptions of a normal distribution. Additionally, addressing any outliers or biases in the data can help reduce the impact of inequalities on the results.