Consider a 3-Sigma Control Chart with Center Line At $\mu _ { 0 }$

Essay

Consider a 3-sigma control chart with center line at $\mu _ { 0 }$ and based on n = 5. Assuming normality, calculate the probability that a single point will fall outside the control limits when the actual process mean is
a. $\mu _ { 0 } + .5 \sigma$
b. $\mu _ { 0 } - \sigma$
c. $\mu _ { 0 } + 2 \sigma$