SUMMARY
The probability of a randomly selected male in the U.S. living more than 86 years is calculated using the normal distribution with a mean of 80 years and a standard deviation of 5 years. The z-score for 86 years is computed as 1.2. The corresponding cumulative probability is approximately 0.8849, leading to a final probability of 0.1151 for living beyond 86 years. This analysis confirms the accuracy of the calculations presented.
PREREQUISITES
- Understanding of normal distribution and its properties
- Knowledge of z-scores and how to calculate them
- Familiarity with cumulative distribution functions (CDF)
- Basic statistics concepts, including mean and standard deviation
NEXT STEPS
- Study the concept of z-scores in depth
- Learn about cumulative distribution functions (CDF) in statistics
- Explore the implications of normal distribution in real-world scenarios
- Investigate advanced statistical methods for life expectancy predictions
USEFUL FOR
Students studying statistics, researchers in demographic studies, and anyone interested in understanding life expectancy probabilities in the U.S.