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- Using integrals, directly calculate the variance of the Weibull distribution with shape α and scale µ34 X shows a normal distribution with mean µ=50 and variance σ^2=100. What standard z value does the value x=55 convert to? a) one B) 0.05 NS) 2,5 D) 0.5 TO) 2ndLet T represent the lifetime in years of a part which follows a Weibull distribution with shape 2 and scale 5. (a) What is E(T )? Make sure to simplify the gamma function in terms of pi.(b) What is V(T )? Make sure to simplify the gamma function in terms of pi.
- Pls help with below homework :Exercise 2: Finding the Area Under the Curve In Major League Baseball, the average fastball pitch is 90 miles per hour, μ = 90, with a standard deviation of 3 miles per hour, σ = 3. A pitcher’s fastball is 96 miles per hour. Is he among the fastest 1 percent of pitchers? A pitcher’s fastball is 95 miles per hour. Is he among the fastest 2.5 percent of pitchers? A pitcher’s fastball is 85 miles per hour. Is he among the slowest 2.5 percent of pitchers? A pitcher’s fastball is 80 miles per hour. Is he among the slowest 1 percent of pitchers? Use Assignment05_Data.xlsx to solve these problems. Or, you may use the Area Under the Curve Table and a handheld calculator. The key part of your solution is used the correct z-value. Remember: z-values can be positive or negative. The Area Under the Curve Table only shows positive z-values. Because the normal curve is symmetrical, the probability of negative z-values are the same has their corresponding…A variable of two populations has a mean of 49 and a standard deviation of 14 for one of the populations and a mean of 54 and a standard deviation of 15 for the other population. a) For independent samples of sizes 34 and 45, respectively, find the mean and standard deviation of ₁ - 2. mean: standard deviation: b) Can you conclude that the variable 1 T2 is approximately normally distributed? (Answer yes or no) answer:
- الموافق foo an exponentiaL distribution fx Cx jt) e.w. where u>o Write (Dankderive) meancespedoed V9lue) f.eECx)Extra Small Small Medium Large ExtraLarge 390 470 520 680 440 A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bags has a mean weight of 3.05 kg with a standard deviation if 0.05 kg. From the data given, state the value of : parametrt & statisticThe adult body lengths of deer mice are known to vary approximately Normally, with mean µ = 86 mm and standard deviation o = 8 mm. A researcher uses a random sample of 1 deer mice. What is the probability that the mice's body length is less than 80 mm? (i) Does the random variable represent Хor x? (ii) Draw a Normal density curve. (Label the horizontal axis and shade the area that the question is asking.) (iii) Draw a standard Normal density curve. (Label the horizontal axis and shade the area that the question is asking.)Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean u - 5.3 and standard deviation a - 0.7. The Standard Normal Distribution u = 0, o = 1) -1 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) z< (c) Convert the x interval, 4.0 < x< 5.5, to a z interval. (Round your answers to two decimal places.)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.Please explain me easy way only no 2 a and bRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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