Answer :
Answer:
[tex]P(X<85)[/tex]
Step-by-step explanation:
We have been given that X represent a random variable whose distribution is normal, with a mean of 100 and a standard deviation of 10. We are asked to choose the expression that is equivalent to [tex]P(X>115)[/tex].
We know that normal distribution curve represents the area under a z-score.
We can see that 115 is 1.5 standard deviation above mean.
Since normal distribution curve is symmetric, so the area above 1.5 standard deviation from mean will be equal to area below [tex]-1.5[/tex] standard deviation from mean.
The data point 1.5 standard deviation below mean is 85.
[tex]P(X>115)=P(X<85)[/tex]
Therefore, the given expression is equivalent to [tex]P(X<85)[/tex].