Concept explainers
Following is a
- a. What proportion of the population is between 2 and 4?
- b. If a value is chosen at random from this population, what is the probability that it will be greater than 2?
a.
Find the proportion of the population is between 2 and 4.
Answer to Problem 1CQ
The proportion of the population is between 2 and 4 is 0.32.
Explanation of Solution
Calculation:
The given probability density curve indicates the area between 0 and 2, and the area between 4 and 10. The area between 0 and 2 is 0.59 and the area between 4 and 10 is 0.09.
The proportion of the population is between 2 and 4 represents the area under the curve between 2 and 4.
Generally total area of the curve is 1.
The proportion of the population is between 2 and 4 is obtained as follows.
Therefore, the proportion of the population is between 2 and 4 is 0.32.
b.
Find the probability that a randomly selected value will be greater than 2.
Answer to Problem 1CQ
The probability that a randomly selected value will be greater than 2 is 0.41.
Explanation of Solution
Calculation:
From part (a), the area between 2 and 4 is 0.32. Also, the area between 0 and 2 is 0.59 and the area between 4 and 10 is 0.09.
The probability that a randomly selected value will be greater than 2 represents the area to the right of 2.
The probability that a randomly selected value will be greater than 2 is obtained as follows.
Thus, the probability that a randomly selected value will be greater than 2 is 0.41.
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Chapter 6 Solutions
Essential Statistics
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL