Verify that the following function is a cumulative distribution function. 0 F(x)=0.5 Round your answers to 1 decimal place (e.g. 98.7). Determine: P(1 ≤x≤2) = 1 x < 1 1
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- Distribution function is as follows: [0.01x² -4The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true? (choose all that apply). a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x <30) < 02. Consider the experiment of rolling a die until a "6" appears. Let X be the number of rolls needed. Plot the Cumulative distribution function Fx(x) of X. Describe what it means for a function to be right-continuous. You are encouraged to use a computer program to plot this, although it is acceptable that you use rulers and pencils. (You don't need to plot the whole function because the possible values could be ar- bitrary large. Try to plot from 0 to the value that you think it shows the major trend.)The (cumulative) distribution function of X is given below: for Fx(x) = ¹ for { for (a) Determine the pdf for X. (b) Determine the value of the constant k. x 1.Please see attached image...THE FF. WERE THE RESULTS OF THE EXAMINATION CONDUCTED FOR GRADUATING STUDENTS. FIND THE RANGE (USE THE EXACT ANSWER) SCORE INTERVAL 91-100 5 95.5 65 81-90 5 85.5 60 13 75.5 55 61-70 12 65.5 42 51-60 71-80 41 - 50 31-40 f xBelow are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported. X f7 66 55 54 53 12 21 00 2 a. Compute the median number of years that participants reported playing the piano without using a formula.The following function is a cumulative distribution function. x < -10 0.1510Find the highest possible value for x in the set 8.2 7.7 6 4.8 8.2 5.8 9.2 7.3 6.2 8.1 5.5 and x such that the mean of these scores is 7. show complete solutionFor any number of x, the cumulative distribution function (F(x)) is the probability that the observed value of the X will be at most x. Select one: True FalseMake sure to add hypothesis as well as graphThe duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true (check all that apply)? a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x<30) < 0SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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