Using integrals, directly calculate the CDF of the Weibull distribution with shape α and scale µ.
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- Let X have a pdf of f(x) = 4/15, 3 < X < b. a. What type of distribution does X have? b. Find b such that f(x) is a pdf. c. Find P(3.8 < X < 5.3). Give exact answer(fraction). d. Find μ, σ^2. Give exact answers(fractions).Below is a graph of a normal distribution with mean u = -2 and standard deviation o = 3. The shaded region represents the probability of obtaining a value from this distribution that is between -5 and -0.5. 0.4- 0.3- 0.2- .1- -5 - 0.5Find the speciffied areas for a normal density. (a) The area above 210 on a N(120, 42.3) distribution Round your answer to three decimal places. Area = i eTextbook and Media (b) The area below 49.4 on a N(50, 0.2) distribution Round your answer to three decimal places. Area = eTextbook and Media (c) The area between 0.7 and 1.4 on a N(1, 0.4) distribution Round your answer to three decimal places. Area = eTextbook and Media
- Question The thickness of a conductive coating in micrometers has a density function of 600x2 for 100 mData are obtained on the location of incidents on a 12-kilometer-long bridge. The distribution of the distance along the bridge (in kilometers) where an incident occurs is depicted in the density curve below. 12 Distance (kilometers) along the bridge where an accident occurs 12 1. The probability of an incident that occurs in any 4 kilometers long bridge segment is always distributed over any 4-kilometer interval. A. 1/3, uniformly B. 1/3, not uniformly C. 1/6, uniformly D. 1/2, not uniformly To put it another way, the probability is 2. What is P(9 < X < 12)? 1 Same as P(2 < X < 5). 2. Same as P(2 s X < 5). 3. Same as P(2 < X < 5). 4. Same as P(2 < X < 5). A. 1 B. 1 and 2 C. 2, 3, and 4 D. 1. 2. 3, and 4Let sample size n = 7. Find P (t < -3.33). *Use the closest degrees of freedom. (a) Draw a t density curve and shade the region that the question is asking. (b) Fill in the blanks: Since < -3.33 <Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. Find the value of x so that the area under the normal curve to the right of x is approximately 0.05.6. A small company can employ 3 workers. Each worker independently stays on the job for an exponentially distributed time with a mean of one year and then quits. When a worker quits, it takes the company an exponentially distributed time with a mean of 1/10 of a year to hire a replacement for that worker (independently of how long it takes to replace other workers). If the company takes in $1000 per day in revenue when it has 3 workers, $800 per day when it has 2 workers, and $500 per day when it has 0 or 1 workers, what is the company's long-run average daily revenue?The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.2 mm. Round values to 4 decimal places when possible.Find the minimum for the upper quarter.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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