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The proportion of impurities per batch in a chemical product is a random variable X with density
find the mean of the proportion of impurities in a randomly selected batch of chemical.
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- Two measures of centre are marked on the density curve below. The median is at the solid line and the mean is at the dashed line. The mode is at the dashed line and the median is at the solid line. The median is at the dashed line and the mean is at the solid line. O The mode is at the solid line and the median is at the dashed lineA spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Let X = the random number spun on the spinner. Height = 1 0 Random number What is the mean of X and the median of X? Mean = 0.25 Median = 0.5 Mean = 0.5 Median = : 0.5 Mean 0.75 Median 0.5 Mean = 0.5 Median = 0.25 Mean = 0.5 Median = 0.75 = -find the percentile rank of the pathologic tumor size 2cm tumor size f rel.f cf 4 3 0.25 12 3 2 0.17 9 2 2 0.17 7 1 5 0.42 5 n=15
- 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 MediaData 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 4
- For each of the following histograms, determine whether the vertical axis has been labeled correctly.The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the normal density curve to 4.00, the standard deviation to 0.33, the z-value of a to -3.03 and the z-value of b to be 3.03. determine the area to the left of a, the area between a and b, and the area to the right of b.Find an approximate z-score such that 17% of the total area is to the right of z. Find an approximate z-score such that 42% of the total area is to the left of z.
- Let x be the amount of time (in minutes) that a particular commuter will have to wait for atrain.Suppose that the distribution is uniform and ranges between 0 and 20 minutes.a. Draw the density curve for x.b. Find the value of the height.c. What is the probability that x is more than 8 minutes?d. What is the probability that x is between 7 and 15 minutes?e. Find the value of c for which P(x < c) = 0.7.A random phenomenon results in a number in the range of 1 to 5. All values in the range are equally likely, so the density curve is flat, as shown below. What must y be such that the probability of a number between 1 and y is 25%? Please provide an explanation for your choice.Assume that the variable under consideration has a density curve. The area under the density curve that lies to the right of 20 is 0.368. a. What percentage of all possible observations of the variable exceed 20? b. What percentage of all possible observations of the variable are at most 20? a. ___________% (Type an integer or a decimal.) b. ___________% (Type an integer or a decimal.)
