Textbook ExpertVerified Tutor
20 Nov 2021
Given information
Use the following information to answer the next four exercises:
Find the probability that
Step-by-step explanation
Step 1.
A normal distribution is a continuous variable with the probability distribution function given as follows:
Where is the mean of the distribution and is the standard deviation.
The notation for the random variable is , if are the mean and the standard normal distribution respectively.
As given in the problem,
.
Therefore, and .
The formula for the is as follows:
One needs to first find the score in order to find the required probability.
Using the formula for the score,
Now to find one can consider the following table:
Using the standard normal table we have:
Therefore, the probability that
.
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