Suppose a random sample of n = 5 observations is selected from a population that is normally distributed, with mean equal to 4 and standard deviation equal to 0.35. (a) Give the mean and standard deviation of the sampling distribution of x. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find the probability that x exceeds 4.3. (Round your answer to four decimal places.) (c) Find the probability that the sample mean x is less than 3.5. (Round your answer to four decimal places.) (d) Find the probability that the sample mean deviates from the population mean μ = 4 by more than 0.4. (Round your answer to four decimal places.)