A random sample of sizen= 50 is taken from a population with mean= 9.5 and standard deviation= 2

a.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.)

b.What is the probability that the sample mean is less than 10?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

c.What is the probability that the sample mean falls between 10 and 9?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)