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

Name: If X is a continuous random variable on the interval [0,10],then P(X > 5)= P(X $\ge$ 5).
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Question

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

Quizplus · Accepted Answer

Since X is a continuous random variable, the probability of any single point is zero. Therefore, P(X > 5) is equivalent to the area under the probability density function curve from 5 to 10. This area is greater than zero, which means that P(X > 5) is indeed greater than or equal to zero. Therefore, the statement is true.

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