pls answer no.2 on paper The table below shows the heights of all fourth-grade students in a particular school, and the frequency of eachheight.Height(cm)frequency1301311321331341351361371387.9.203818121051. Is the given set of data approximately normally distributed? Why or why not?2. What percentage of the students is shorter than 135 cm? (Show your solution)3. How many fourth-grade students are represented in the data? (Show your solution)4. What is the mean height of the given set of data? (Show your solution)5. A radar unit is used to measure speeds of cars on a motorway. The speeds are rounded off to the nearestwhole number and are normally distributed with a mean of 90 km/hr and a standard deviation of 10km/hr. What is the probability that the speed is between 70 km/hr and 80 km/hr inclusive? Show yoursolution and shade the region under the curve that represents the probability.6. The length of life of an instrument produced by a machine is rounded off to the nearest tenths and isnormally distributed with a mean of 12.2 months and standard deviation of 2.3 months. What is theprobability that an instrument produced by this machine will last less than 8.1 months? Show yoursolution and shade the region under the curve that represents the probability.For items 7-8: The Principal decided that the top 30% of the class with the highest grades in statistics will beawarded. The scores are rounded off to the nearest hundredths and are approximately normally distributed witha mean of 80.51 and a standard deviation of 10.2.7. What is the minimum score that a student should have to be awarded? Show your solution and shade theregion under the curve that represents the portion of the population involved in the situation.8. If 1500 students took the test, how many will NOT be awarded?

Question

Accepted Answer

Let X denote the height and f denotes the frequency.
Then 
Total frequency = 2+7+9+20+38+18+12+10+5…

- What percentage of the students is shorter than 135 cm?