Asked by Orion Lavigne on May 31, 2024
Verified
A continuous random variable X has a uniform distribution between 5 and 25 (inclusive),then P(X = 15)= 0.05.
Uniform Distribution
A type of probability distribution in which all outcomes are equally likely to occur.
Continuous Random Variable
A random variable that can take an infinite number of values within a given range.
- Apply the concept of uniform distribution in solving probability problems.
- Discern the value of the probability of distinct values in seamless distributions.
Verified Answer
JG
jehudi guzmanJun 02, 2024
Final Answer :
False
Explanation :
A continuous uniform distribution assumes that any value between the minimum and maximum values has equal probability. Therefore, the probability of any single value (such as 15) in this range is always zero. Therefore, P(X = 15) cannot be 0.05 and the statement is false.
Learning Objectives
- Apply the concept of uniform distribution in solving probability problems.
- Discern the value of the probability of distinct values in seamless distributions.
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