6. (5 points) Consider the SLR model $Y=\beta_{0}+\beta_{1} X+\varepsilon$ where $\arepsilon \sim N\left(0, \sigma^{2} ight) $. The values of $\beta_{0}$ and $\beta_{1}$ are known to be $\beta_{0}=25, \beta_{1}=65$ and $\sigma^{2}=49$. An observation on $y$ will be made for $X=6$. Find the probability that $y$ will fall between $417.38$ and $427.95$ ? SP.PB. 193