X 210 f(x) = - {} 0 8 < x < 22 otherwise
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Elongation (in percent) of steel plates treated with aluminium are random with probability density
Find the standard deviation of the elongations.
Given that
Pdf of X is
f(x) = { x/210 , 8 < x < 22
Step by step
Solved in 2 steps with 1 images
- According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean μ = 64 inches and standard deviation o = 2.5 inches. Assume this claim is true for the three hundred 16-year-old females at a large high school. To see if this claim is true at their high school, an AP® Statistics class chooses an SRS of twenty 16-year-old females at the school and measures their heights. In their sample, the mean height is 64.7 inches. We used technology to simulate choosing 250 SRSs of size n = 20 from a population of three hundred 16-year-old females whose heights follow a Normal distribution with mean μ = 64 inches and standard deviation o = 2.5 inches. The dotplot shows x = the sample mean height for each of the 250 simulated samples. 62.0 62.5 63.0 63.5 64.0 64.5 65.0 65.5 x = simulated sample mean height (in.) 66.0 Would it be surprising to get a sample mean of x = 64.7 or larger in an SRS of size 20 when…Please explain the formula for Expected Value for Hypergeometric Distribution using an exampleThe average yield of raspberries is 8.7 tons per acre with a population standard deviation of .6 tons per acre. Assume that raspberry yields are bell shaped symmetric use empirical rule! Explain why it’s it not possible to find the probability that a crop of raspberries yields at least 9 tons per acre.
- Eggs Hens usually begin laying eggs when they areabout 6 months old. Young hens tend to lay smaller eggs,often weighing less than the desired minimum weight of54 grams.a) The average weight of the eggs produced by the younghens is 50.9 grams, and only 28% of their eggs exceedthe desired minimum weight. If a Normal model isappropriate, what would the standard deviation of theegg weights be?b) By the time these hens have reached the age of 1 year,the eggs they produce average 67.1 grams, and 98%of them are above the minimum weight. What is thestandard deviation for the appropriate Normal modelfor these older hens?c) Are egg sizes more consistent for the younger hens orthe older ones? Explain.Can you please check my workExercise 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…
- Please give solution in correct and step by step detailed format thanku Don't give solution in image format 1.A fair coin is flipped 400 times. Find the exact probability that the coin will land heads exactly 200 times and compare to the result of the normal approximation (with continuity correction)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 0.5 and 6.5. 0.4- 0.3- 0.2+ 0.5 6.5 Shade the corresponding region under the standard normal density curve below. 0.4 0.3- 0.2- 0.1- Continue Submit Assignment O 2021 McGraw-Hill Education, All Rights Reserved. Terms of Use Privacy 96Please find question attached, Thanks!
- Plot the gamma distribution by fixing the shape parameter *k* = 3 and setting the scale parameter = 0.5, 1, 2, 3, 4, 5. What is the effect of increasing the scale parameter?The 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.)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.
