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Find the mean and standard deviation of the sampling distribution of $\bar{x}$.$\newline$$$\begin{array}{l} \mu_{\bar{x}}=80 \\ \sigma_{\bar{x}}=4 \end{array}$$$\newline$(Type integers or decimals. Do not round.)$\newline$(b) $P(\bar{x}>86.8)=0.0446$ (Round to four decimal places as needed.)$\newline$(c) $P(\bar{x} \leq 70.2)=0.0071$ (Round to four decimal places as needed.)$\newline$(d) $P(74<\bar{x}<89.6)=\square$ (Round to four decimal places as needed.)