Ex9: Let X be a continuous uniform distribution over the interval [2.4; 5.2]. Find the mean and standard deviation of X.
Q: The area of the shaded region is . (Round to four decimal places as needed.)
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Q: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).
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A: Given that, Area in the left tail = 0.005 n = 28
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A: Solution-: We want find what is formula for finding the deciles of a continuous distribution.
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A: X~N( 0 , 1 ) μ=0 , ?=1 (for standard normal distribution) Z-score =( x - μ )/?
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A: a)Giventhe area in the right tail is 0.25Degrees of freedom(df)=11
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Q: Let X have a standard normal distribution. Find P(-1.27 ≤ X ≤ 2.05)
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Q: X values: 2, 1, 6, 1, 1, 1 For each X, compute a deviation from the mean and place those deviations…
A: Given data values of X2, 1, 6, 1, 1, 1The mean of the data is calculated as shown belowMeean = 2
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Q: Find quartile deviation and its co-efficient from the following data.
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A: Given: Area in the right tail = 0.25 df =6
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Q: Label the 7 points on the x-axis graph of each of the following curves that correspond to the values…
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Q: 0.162 (b) Determine the mean of X. (Round your answer to 4 decimal places.) 0.2090 micrometers (c)…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…
A: Given that, Let X is the length of a professor’s classes has a continuous uniform distribution…
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- Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 120 pounds and a standard deviation of 39.9 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. H = o: = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. OA. O B. Oc. OD. -110.6 9.4 129.4 101.2 120 138.8 -350.6 9.4 369.4 91.8 120 148.2 Click to select your answer(s). P Type here to search 11:24 AM 2/1/2021 Home EndLet x be a continuous random variable that is normally distributed with a mean of 22 and a standard deviation of 5. Find to 4 decimal places the probability that x assumes a value a. between 26 and 34. Probability = i b. between 18 and 31. Probability iFind the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 108 130 The area of the shaded region is |- (Round to four decimal places as needed.) Enter your answer in the answer box. ?
- The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.569 , find c. C = minutes (Report answer accurate to 4 decimal places.)Assume a poison distribution if A= 0.5, find p(x=1) the A represents a symbolDetermine to 3 decimal places the value of x² for 25 degrees of freedom and an area of 0.990 in the left tail of the chi-square distribution curve. x² = i
- Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 108 124 The area of the shaded region is (Round to four decimal places as needed.)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 ? = 3.4 and standard deviation ? = 0.5. Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)____ < zConvert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < ____ Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.)____ < z < ___Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____ Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)____ < xConvert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)____ < x < ___If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.…