Asked by Jayleen Ailani on Jun 25, 2024
Verified
The probability that a continuous random variable takes any specific value
A) is equal to zero.
B) is at least 0.5.
C) depends on the probability density function.
D) is very close to 1.0.
Continuous Random Variable
A type of random variable that can take an infinite number of possible values within a given range.
Probability Density Function
A function that describes the likelihood of a continuous random variable taking on a particular value.
- Understand the concepts related to probabilities in continuous random variables and standard normal distributions.
Verified Answer
MS
Muskan SinglaJun 28, 2024
Final Answer :
A
Explanation :
In a continuous random variable, there are infinite possible values that it can take. The probability that it takes any specific value is given by the area under the probability density function at that point. Since the width of a single point is zero, the area under the curve at any specific point is also zero, making the probability of the random variable taking any specific value equal to zero.
Learning Objectives
- Understand the concepts related to probabilities in continuous random variables and standard normal distributions.
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