I am attempting to find an unknown value given the probability of the range of X. I am unsure of how to calculate the value given the added constants defined in the problem and which values I need to use to look up the z-scores to plug into the x = z + μ(σ). I have found z given probability of 0.95 to be 1.644853. Not really sure if that is the correct value to use or how to go from here? Here is the problem: A random variable X has the distribution N(1500,(200)^2). Find B, where P(1500−B<X<1500+B)=0.95

What is the range of the function ${\displaystyle y=x^2}$?

The domain and range of $y=\sin <!--\; \; -->x$ is
A)$R,[0,\mathrm{\infty <!--\; \infty \; -->}]$
B)$R,[-<!--\; -\; -->1,1]$
C)$R,[-<!--\; -\; -->\mathrm{\infty <!--\; \infty \; -->},\mathrm{\infty <!--\; \infty \; -->}]$
D)$R,[1,\mathrm{\infty <!--\; \infty \; -->}]$

Mean of the squares of the deviations from mean is called the:
Variance
Standard deviation
Quartile deviation
Mode

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