Consider a uniform density curve defined from x = 0 to x = 4. What percent of observations fall below 3? a) O 0.33 b) O0.25 c) O 0.87 d) O 0.30 e) O 0.75 f). O None of the above
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- Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector measures 10 spacers and records the following thicknesses: 0.372" 0.376" 0.379" 0.375" 0.370" 0.373" 0.377" 0.378" 0.371" 0.380" Which spacers are defective (above the maximum limit or below the minimum limit)? All dimensions are in inches.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 aboveUsing your z-score tables, find the area under the curve between z = 0.40 and z = 2.45. Question 3 options: P(0.40<z<2.45) = 0.3375 P(0.40<z<2.45) = 0.9929 P(0.40<z<2.45) = 2.0500 P(0.40<z<2.45) = 0.6554
- 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}Below is a density curve for distribution of values between 0 and 2. It is called a uniform distribution. Use geometry to determine the answers to BOTH questions. a) What percentage of the data lies above 1.2? b) What percentage of data lies between 0.6 and 1?According to the Distribution of Z table, ______ % of area is above a Z value of 1.20?
- 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?Which of the following population densities are equivalent to a density of 5 people/mi2? There may be more than one correct answer. i. 100 people/20 mi2 ii. 1 person/0.05 mi2 iii. 500 people/0.5 mi2 iv. 1 person/2 mi2 v. 1 person/0.2 mi2The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.25 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.002 in, 0.25+0.002in) What fraction of the shafts produced conform to specifications? a). 0 b). 0.5 c). 0.9 d). almost 1
- 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%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 following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a) through (c) on the right.