The diameter of a particle of contamination (in micrometers) is modeled with the probability density 2 f(x) = fo for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 3) i (b) P(X > 6) Mi
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- Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential. The proposed double exponential distribution has density function f(x) = 0.5?e−?|x| for −∞ < x < ∞. The standard deviation is given as 41.2 km. a. What is the value of the parameter ?? b. What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?b. The position of an automobile was observed at various times; the results are sum marized in the table. Find the average velocity of the car for i. First second ii. Last 3s ii. Entire period t(s) 1.0 2.0 3.0 4.0 5.0 x(m) 2.3 9.2 20.7 36.8 57.5The lifetime T(in years) of a device is given by the probability density function in the picture below. Two students are asked to find t=L. Please help find which student had the right setup to find L with work. Either one, both, or neither.
- By the end of 2021, the percentage, ?, of the population (expressed in decimals) that will be vaccinated is given by the density function a. Find ?. b. Find the cdf ?(?) and use it to evaluate the probability that 30% to 60% will be vaccinated at the end of the year. Please answer this step by step and justify your answer.I need the answer as soon as possibleAccording to a study, the maximum temperature T (in degrees Celsius) of each day during the spring has a distribution with the following function density: 212. Assume that if a certain scale in a laboratory has been used too long without recalibration the probability density function of the measurement error is f(x) = 1 – 0.5x for 0TQ2A test instrument needs to be calibrated periodically to prevent measurement errors. After some time of use without calibration, it is known that the probability density function of the measurement error is f(x) = 1.0(1 − 0.5x) for 0 < x < 2.0 millimeters. Note that x is the absolute value of the measurement error. a. If the measurement error within 0.5 millimeters is acceptable, what is the probability that the error is not acceptable and the instrument needs calibration? b. What is the value of measurement error that must be exceeded with probability 0.3 before the instrument needs calibration? c. What is the probability that the measurement error is exactly 0.21 millimeters before calibration?Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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