Name:................................Test 3 Spring 18Show all your work. 10 points a problem except when stated otherwise. For problems involving thenormal distribution, draw the picture for full credit.1.•What is the sampling distribution?•State the Central Limit Theorem.2. Jan’s All You Can Eat Restaurant charges $8.95 per customer to eat. Past experience has shown thatits expenses per customer has a right skewed distribution with mean $8.20 and standard deviationof $3.(a) Draw the distribution ofX=expense per customer.(b) If the 100 customers on a particular day have the characteristics of a random sample, describethe distribution of¯X= mean expense per customer.(c) Find the probability that the restaurant makes a profit that day.