Question
Variable $X$ is normally distributed. Mean of the distribution is $50$ and its standard deviation is $10 .$ Find the following probabilities:
$(1) P[50 \leq X \leq 60] $
$(2) P[35 \leq X \leq 50] $
$(3) P[55 \leq X \leq 70] $
$(4) P[30 \leq X \leq 40]$

Answer

$(1) 0.3413$
$(2) 0.4332$
$(3) 0.2857$
$(4) 0.1359$

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