The Department of the Census provides the following data table. Marital Status Single Married Widowed Divorced Total--------------- Male 0.129 0.298 ______ 0.040 ________ Female ______ 0.305 0.057 0.054 ________ Total----------- 0.233 ______ 0.070 ______ 1.0 a) Fill in the missing word for each of the totals. (What is being totaled in each column/row?) b) Find P(Widowed and Male). c) Find P(Widowed).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Department of the Census provides the following data table.
Marital Status
Single Married Widowed Divorced Total---------------
Male 0.129 0.298 ______ 0.040 ________
Female ______ 0.305 0.057 0.054 ________
Total----------- 0.233 ______ 0.070 ______ 1.0
a) Fill in the missing word for each of the totals. (What is being totaled in each column/row?)
b) Find P(Widowed and Male).
c) Find P(Widowed).
d) Find P(Married or Female). Write out the formula you use so I know that you know what you are doing.
e) Find P(Widowed and Divorced). Explain your answer.
f) Are Divorced and Male Mutually Exclusive
g) If an adult is selected at random, find P(Female|Divorced), and tell what it means in words.
h) If an adult is selected at random, find P(Divorced|Female), and tell what it means in words.
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