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- Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 7? a) 0.87 b) 0.88 c) 0.13 d) 0.75 e) 0.14 f) None of the above1) Use the density curve given and answer the following questions:a) What is the width? What is the height? What is the area?b) P(less than 2) =c) P(greater than 3) =d) P(between 1 and 4) =In a certain population of the parasite Trypanosoma,the lengths of individuals are distributed as indicated bythe density curve shown here. Areas under the curve areshown in the figure. Consider the length of an individual trypanosome chosenat random from the population. Find(a) Pr{20 < length < 30}(b) Pr{length > 20}(c) Pr{length < 20}
- The density curve shown takes the value 0.5 on the interval 0 ≤ x ≤ 2 and takes the value 0 everywhere else. Whatpercent of the observations lie between 0.5 and 1.2? (a) 25%(b) 35%(c) 50%(d) 68%(e) 70%Assume that the variable under consideration has a density curve. Note that the answers required here may be only approximately correct. Given that 28.4% of all possible observations of the variable are less than 11, determine the area under the density curve that lies to the a. left of 11. b. right of 11.Assume that the variable under consideration has a density curve. The area under the density curve that lies to the right of 12 is 0.378. a. What percentage of all possible observations of the variable exceed 12? b. What percentage of all possible observations of the variable are at most 12?
- Given that the area under a density curve that lies to the left of 25 is 0.483. What percentage of all possible observations of the variable are at least 25?Given that 28.4% of all possible observations of the variable are less than 11, determine the area under the density curve that lies to the a. left of 11. b. right of 11.Assume that the variable under consideration has a density curve. Note that the answers required here may be only approximately correct. Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the density curve that lies to the a. right of 8. b. left of 8.
- Suppose a density curve has an area of 0.361 to the left of 12 and an area of 0.428 to the right of 14. What is the size of the area between 12 and 14? Explain your answer.The percentage of all possible observations of a variable that lie between 25 and 50 equals the area under its density curve between _______ and _______, expressed as a percentage.Suppose the amount of time (x) to complete an exam is uniform between 30 and 60 minutes. A) Draw the density curve for for the unknown height (h) B) What is the probability that the exam takes between 30 and 35 minutes or 55 and 60 minutes? Enter your answer as a fraction.