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A simple random sample of size $n=49$ is obtained from a population that is skewed right with $\mu=86$ and $\sigma=21$.$\newline$(a) Describe the sampling distribution of $\bar{x}$.$\newline$(b) What is $P(\bar{x}>91.25)$ ?$\newline$(c) What is $P(x \leq 79.85)$ ?$\newline$(d) What is $\mathrm{P}(83.3<\bar{x}<92.9)$ ?$\newline$(a) Choose the correct description of the shape of the sampling distribution of $\mathrm{x}$.$\newline$A. The distribution is approximately normal.$\newline$B. The distribution is skewed right.$\newline$C. The distribution is uniform.$\newline$D. The distribution is skewed left.$\newline$E. The shape of the distribution is unknown.$\newline$Find the mean and standard deviation of the sampling distribution of $\bar{x}$.$\newline$$$\begin{array}{l} \mu_{\bar{x}}=86 \\ \sigma_{\bar{x}}=21 \end{array}$$$\newline$(Type integers or decimals. Do not round.)$\newline$(b) $P(\bar{x}>91.25)=$ $\mu=86$$0$ (Round to four decimal places as needed.)$\newline$(c) $\mu=86$$1$ $\mu=86$$0$ (Round to four decimal places as needed.)$\newline$(d) $\mu=86$$3$ $\mu=86$$0$ (Round to four decimal places as needed.)