SUMMARY
The probability distribution of drug intake among addicts with autoimmune disorders is modeled as a normal distribution N(6.9, 16.81). To find the probability of an addict reporting taking 16 drugs or more, the z-score is calculated as z = (16 - 6.9) / 4.1 = 2.21. The corresponding probability P(z > 16) is determined to be 0.014, indicating a 1.4% chance. The correct formulation for this probability is P[x ≥ 16] = 1 - P[x < 16], confirming the initial calculation.
PREREQUISITES
- Understanding of normal distribution and its properties
- Familiarity with z-scores and their calculation
- Knowledge of probability tables for normal distributions
- Basic statistics concepts, including mean and standard deviation
NEXT STEPS
- Study the properties of normal distributions in depth
- Learn how to calculate z-scores for various statistical problems
- Explore the use of statistical tables for different distributions
- Investigate applications of probability in real-world scenarios
USEFUL FOR
Students in statistics, data analysts, and professionals dealing with probability distributions in fields such as psychology, healthcare, and social sciences.