Q) Let $x$ be normal variable with mean $8$ and standard deviation $4$ then $p(X\leq5)$ is
A). Greater than zero but less than $0.5$
B). Greater than $0.75$
C). Greater than $0.5$ but less than $1$
D). Equal to $0.5$
I think the right option is A.
This is the normal distribution curve for this mean and standard deviation μ=8 and σ=4
Since the area under the curve from μ-3σ(-4 here) to μ(8) is 0.5 hence P(x≤5) will be even smaller but will not be zero. Hence option A is correct.
Visit exam center at your own risk ...