How do I solve this problem? Companies who design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of 39.2inches and standard deviation of1.9inches. ​a) What fraction of kindergarten kids should the company expect to be less than 36 inches​ tall? About _____?___​% of kindergarten kids are expected to be less than 36inches tall.

The heights of children in a second grade section are normally distributed with mean 52 inches and standard deviation 10 inches. What percentage of students will have height between 55 inches and 60 inches? a. 0.5% b. 5% c. 12% d. 17% 2.If you take a random sample of 64 students in question 1, what would be the mean and standard deviation of the average height of these 64 students? a. 52 inches and 10 inches b. 6.5 inches and 1.25 inches c. 6.5 inches and 10 inches d. 52 inches and 1.25 inches In question 2, what is the probability that the average height is above 50 inches? a. 0.0548 b. 0.9452 c. 0.5793 d. 0.4207

In a previous research project for University of Michigan, you wanted to know what extent students were a morning person. Using a scale from 1 (not a morning person) to 7 (very much a morning person), you had a mean of 3.40 and a standard deviation of 1.47. You examine your examine your data and find you have a student named Julian with a raw score of 6. 2.a. What is that student’s z score? 2.b. What percent of students are below Julian’s z score ? 2.c. What percent are above Julian’s z score?   You have another student, Monika from your university regarding they are a morning person or not. Her raw score is 1.0.   3.a. What is Monika’s z score? 3.b. What is the area (proportion ) between Monika and Julian’s Z scores ? 3.c. What is the area below Monika’s z score? 3.d What is the are above Monika’s z score?

At the order fulfillment center of a major mail-order firm, customer orders, already packaged for shipment, arrive at the sorting machine to be sorted for loading onto the appropriate truck for the parcel's address. The arrival rate at the sorting machine is at the rate of 90 per hour following a Poisson distribution. The machine sorts at the constant rate of 120 per hour. A.) What is the average number of packages waiting to be sorted?