On average, there are about 100 micro fissures along a 3-m structural beam. Use the Poisson distribution to estimate the probability that there are between 30-40 micro fissures in 1 meter of the beam.
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- Which distribution's height begins low, increases until the middle, and then decreases such that it has a steep side and a shallow sideSuppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. (a) In words, define the random variable X. Edit Insert Formats BIUX₂ + 2+ 3 = C P & (b) Find the z-score for a trial lasting 19 days. your answer to three decimal places.) Shade: Left of a value (c) If one of the trials is randomly chosen, find the probability that it lasted at least 19 days. +||||||||| (d) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (b), rounded to one decimal place). -1 X² A ▾ A▾ -1.5 用 Σ+ Σ Α 2 Click and drag the arrows to adjust the values. (Round ++++++++++++ 3 4 (e) eighty-eight percent of all trials of this type are completed within how many days?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.Number 2 please
- An XYZ is hiring this school year's HRM graduate students from university ABC. The average height of the HRM students is 163 cm with a standard deviation of 5.6 cm with 100 randomly selected students. All students whose height is the tallest 15% will qualify to the first screening of hiring, determine the minimum height to qualify. 4 decimal places.Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution with u = 234 and o = 37. You intend to draw a random sample of size n = 35. Find the probability that a single randomly selected value from the population is greater than 239. P(X > 239) D %3D Find the probability that a sample of size n = 35 is randomly selected with a mean greater than 239. PIM> 239) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Question Help: Message instructor Submit QuestionAn XYZ is hiring this school year's HRM graduate students from university ABC. The average height of the HRM students is 163 cm with a standard deviation of 5.6 cm with 100 randomly selected students. What is the probability that the height of the studnet chosen is more than 164.5 cm? 4 decimal places.
- 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.)
