A random sample of sizen= 32 is taken from a population with mean= 6.1 and standard deviation= 2

Calculate the expected value and the standard error for the sampling distribution of the sample mean.(Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard deviation" to 4 decimal places.)

What is the probability that the sample mean is less than 6?Round intermediate calculations to 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places.)

What is the probability that the sample mean falls between 6 and 5?(Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)