Question

A certain barangay in Makati has a population of 5000. If the ages of the population in the area are normally distributed with mean 43 and standard deviation of 12. How many citizens are more than 70 years old

Answer 1

To find the number of citizens older than 70 years old in the given barangay, we can calculate the z-score and use a standard normal distribution table or calculator to find the probability.

Step-by-step explanation:

To find the number of citizens who are more than 70 years old, we need to calculate the z-score for a value of 70, using the formula: z = (x - μ) / σ.

Substituting the values into the formula, we have: z = (70 - 43) / 12 = 2.25.

We can then use a standard normal distribution table or calculator to find the probability corresponding to a z-score of 2.25, which is approximately 0.9878. Multiplying this probability by the total population of 5000, we get: 5000 * 0.9878 ≈ 4939.