A consumer price analyst claims that prices for liquid crystal display (LCD) computer monitors are normally distributed, with a mean of $190 and a standard deviation of $48. What is the probability that a randomly selected LCD computer monitor costs less than $200? You randomly select 10 LCD computer monitors. What is the probability that their mean cost is less than $200? Compare these two probabilities.

a. Find the z-scores that correspond to x and x̅.

b. Use the Standard Normal Table to find the probability associated with each z-score.

c. Compare the probabilities.