_ The daily sales of a delicatessen have a probability distribution that is approximately normal, with a mean equal to 31,4363 and a standard deviation equal $3 WEE-"hat is the probability that sales exceed $143!] for a given day? _ Find the Escore such that the area under the normal curve on the left side of Z is 0-2264 _ Find the following probabilities for the standard normal random variable Z: A) P(2 c 4.4?) E] P(1.t13 e z e 2.18] C] PL: 3:- 2] _ Find the Escore such that the area under the normal curve on the right side on is [[3264 . Dental anxiety study. To gauge their fear of going to a dentist = a random sample of adults completed the Modied Dental Amiiety Scale questionnaire= Scores on the scale range form zero ( no anxiety) to 25 {extreme anxiety) The mean score was 11 and the standard deviation was 4. Assume that the distribution of all scores is approximately normal with p.=l l, and o = 4 "It a) Suppose you score a III} on the Modied Dental Anxiety Scale. Find the Zvalue for your score b) Find the probability that someone scores between Hi and 15 on Modied Dental Anxiety Scale. c) Find the probability that someone scores above EU on Modied Dental Anxiety Scale