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Chapter 6: Q. 45 (page 386)

Is P(x<1) equal to P(x≤1)? Why?

Short Answer

Expert verified

There is no existence in the equality in probability for continuous distribution.

Therefore, P(x<1)is equal to P(x≤1)

Step by step solution

01

Given information

Given in the question that P(x<1)andP(x≤1)

We have to determine whether P(x<1)is equal to P(x≤1)or not. Explain why

02

Explanation 

For continuous distribution, it is realized that the value of the probability at a specific point is zero on the grounds that the region under the curve for a specific point is zero.

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Most popular questions from this chapter

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

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About what percent of x values lie between the first and third standard deviations(both sides)?

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What is the z-score of x, when x=1and X~N(12,3)?
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