Use the information below to answer the following questions. Age White Black American Indian, Eskimo, Aleut Asian, Pacific Islander 0–4 15,027 2,923 239 1,000 5–19 47,578 9,442 703 3,009 20–44 79,575 14,019 1,012 5,160 45–64 60,149 8,028 457 2,912 65–84 27,434 2,825 163 955 85+ 4,479 355 27 116 U.S. population (projected), in thousands, by age and race for a certain year. (a) Find the probability that during the year, a U.S. resident was American Indian, Eskimo, or Aleut. (Round your answer to one decimal place.) (b) Find the probability that during the year, a U.S. resident was Asian or Pacific Islander and between 20 and 44 years of age. (Round your answer to one decimal place.)
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.
Use the information below to answer the following questions.
| Age | White | Black | American Indian, Eskimo, Aleut |
Asian, Pacific Islander |
|---|---|---|---|---|
| 0–4 | 15,027 | 2,923 | 239 | 1,000 |
| 5–19 | 47,578 | 9,442 | 703 | 3,009 |
| 20–44 | 79,575 | 14,019 | 1,012 | 5,160 |
| 45–64 | 60,149 | 8,028 | 457 | 2,912 |
| 65–84 | 27,434 | 2,825 | 163 | 955 |
| 85+ | 4,479 | 355 | 27 | 116 |
| U.S. population (projected), in thousands, by age and race for a certain year. |
(b) Find the probability that during the year, a U.S. resident was Asian or Pacific Islander and between 20 and 44 years of age. (Round your answer to one decimal place.)
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