Suppose X~N(11,4)
What is the x-value that is 2-standard deviations to the right?
To find the x-value that is 2 standard deviations to the right, we need to add 2 standard deviations to the mean (11) since we are moving to the right on the normal distribution.
The standard deviation of the distribution is 4, and we want to find the value that is 2 standard deviations to the right of the mean. Each standard deviation unit is equal to 4, so 2 standard deviations would be equal to 2*4 = 8.
Therefore, the x-value that is 2 standard deviations to the right is 11 + 8 = 19.