Concept explainers
Compute the probability that person alive at ages 50, 60,70,80,90, and 100.
Answer to Problem 5CS
The probabilities are,
Explanation of Solution
Calculation:
The given information is a life table. The first and second column of the table represents the age groups and corresponding proportion of survivals. The first value in the proportion column gives the proportion people who survived between 0 to 10. The second value in the proportion column gives the conditional probability that person is alive at the end of the age interval given that they were alive at the beginning of the age interval.
The formula for conditional probability is given by:
From the conditional probability,
Alive at the age 50:
From Exercise 4,
From table,
Substitute these values in the above formula.
Therefore,
Thus,
Alive at the age 60:
From the above,
From table,
Substitute these values in the above formula,
Therefore,
Thus,
Alive at the age 70:
From the above,
From table,
Substitute these values in the above formula.
Therefore,
Thus,
Alive at the age 80:
From the above,
From table,
Substitute these values in the above formula.
Therefore,
Thus,
Alive at the age 90:
From the above,
From table,
Substitute these values in the above formula.
Therefore,
Thus,
Alive at the age 100:
From the above,
From table,
Substitute these values in the above formula.
Therefore,
Thus,
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Chapter 4 Solutions
ESSENTIAL STATISTICS W/CONNECT
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL