Asked by Jessica Kopet on May 29, 2024
Verified
For a continuous random variable x, P(x 
a) = P(x > a) and P(x 
a) = P(x < a).
Continuous Random Variable
A random variable that can take any value in a continuum or uncountable range.
P(x > a)
The probability that a random variable x will take a value greater than a specified number a.
P(x < a)
This notation represents the probability that a random variable x is less than some value a.
- Get a clear understanding of how probabilities relate to the areas found under the curve representing normal distribution.
Verified Answer
KK
Khadijah KabirMay 31, 2024
Final Answer :
True
Explanation :
The statement is true for any continuous random variable x. This is because the probability of x being exactly equal to a continuous value is always zero. Therefore, P(x > a) is equivalent to the probability that x is greater than a, and P(x < a) is equivalent to the probability that x is less than a.
Learning Objectives
- Get a clear understanding of how probabilities relate to the areas found under the curve representing normal distribution.