X Question 3 Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Consider the density curve plotted below: 0.2 0.16 0.12 20.08 0.04 Find P(X <4): 2 Х Find P(X > 6): 2 X 146 Check Answer Density Curve 4 X 33,244 MAR 15 00 8 10 tv ♫ MacBook Air 80 000 000 F1 F2 F3 F4 F5 F6 AA F7
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- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.the first part of the question is attached! (a) For what value of c is f(x) a valid density? (b) What is the average number of copies sold by a platinum album?In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway. The data show that the density function of these time gaps was given approximately by p(t)=ae−0.119t where t is the time in seconds and a is a constant.Find the constant a.
- 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%The following data represent the results obtained from the specific gravity (S.G.) test performed in a soil laboratory including for sand * ?samples. Find the modeGiven that ? = 36, use the t-score Table (Table IV, you can find a copy online or in the Blackboard course) to find (a)P(t ≥ 2.030) = _____________, that is the area under the ? density curve to the right of 2.030. (b)P(t ≤ − 2.030) = _____________, that is the area under the ? density curve to the left of -2.030. (c)P(t ≥ 2.6) = _____________, that is the area under the ? density curve to the right of 2.6.
- 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) =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.You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): 26 49 52 32 15 15 39 41 20 30 46 42 21 40 17 38 13 26 49 26height(m): 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 Read the data into R. (a) Calculate the following using R: ̄x , ̄y , SSx, SSy. (Note that to get SSy or SSx, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation).(b) Perform a complete test of the hypothesis that there is no difference in height as dbh increases. Write out all the appropriate steps of a regular hypothesis test (give H0, H1, α, your decision, etc.)(c) Give the equation of the least squares lineAssume that the variable under consideration has a density curve. Note that the answers required here may be only approximately correct. The area under a density curve that lies to the left of 60 is 0.364. What percentage of all possible observations of the variable are a. less than 60? b. at least 60?