If x is normally distributed with mean 12 and standard deviation 2,then P(x $\le$ 9)is
A)P(z $\le$ 9/10).
B)P(z $\le$ -3/2)
C)P(z $\le$ 2/3)
D)P(z $\le$ -3/4)

Name: If x is normally distributed with mean 12 and standard deviation 2,then P(x $\le$ 9)is A)P(z $\le$ 9/10). B)P(z $\le$ -3/2) C)P(z $\le$ 2/3) D)P(z $\le$ -3/4)
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Question

Quizplus · Accepted Answer

To standardize x, we use the formula z = (x - μ)/σ. 
So, z = (9 - 12)/2 = -1.5. 
Therefore, P(x ≤ 9) = P(z ≤ -1.5). 
Option B is the only choice that matches this expression.

If X Is Normally Distributed with Mean 12 and Standard ≤\le≤

If X Is Normally Distributed with Mean 12 and Standard $\le$