In the case of Standard Normal Distribution, the probability value that a random variable assume a value between 7 and 12 is similar to the probability value that a random variable assume a value from 7 to 12. Why is it so?

Macy Villanueva

Macy Villanueva

Open question

2022-08-20

In the case of Standard Normal Distribution, the probability value that a random variable assume a value between 7 and 12 is similar to the probability value that a random variable assume a value from 7 to 12. Why is it so?

Answer & Explanation

Marin Francis

Marin Francis

Beginner2022-08-21Added 2 answers

Step 1
Normal Distribution is a continuous distribution.
In continuous distribution, random variable can take any value
Step 2
As there are infinite value that the random variable can take
The probability at a specific value is 0
Therefore,
the probability value that a random variable assume a value between 7 and 12 is similar to the probability value that a random variable assume a value from 7 to 12

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