If X is a continuous random variable on the interval [0,10],then P(X 5)= P(X ≥ 5).

Question

If X is a continuous random variable on the interval [0,10],then P(X > 5)= P(X ≥ 5).

Miyara Butler · Accepted Answer

Final Answer : True, Explanation :  Since X is a continuous random variable, the probability that X takes any specific value is 0. Therefore, P(X>5) and P(X≥5) are equivalent and both equal to the probability that X falls within the interval (5,10].

If X is a continuous random variable on the interval [0,10],then P(X > 5)= P(X ≥ 5).

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