A sample of size 20 was gathered from high school seniors to estimate how many intended to attend the state university. It is known that the proportion of the population answering "yes" was 0.9. What are the mean and standard deviation, and standard error of the mean of this sample? mean = E(p) = 0.06 Standard error = SD(p ) (accurate to 3 decimal places) = 0.004Suppose 15% of adults in a certain country work from home. 1) If we want to find the probability that fewer than 35 out of a random sample of 250 adults will work from home, a) What is the associated z-score (to 2 decimals)? -0.44 35 b) What is the probability? P p = 250 (Round to 4 decimals.)