Assume that X is normally distributed with a meanof 10 and a standard deviation of 2. Determine P(X>13)
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Assume that X is
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- a company is producing a product that its size has a normal distribution with mean of 7and standard deviation of 0.1. A product that has a size of is called a standard product. Producing a standard product has 1250 profit. If a product is smaller than 6.91, it is not useable and will result in 1050 of negative profit. If the product is bigger than 7.09, producer will be able to fix it and make it as a standard product by spending $200. Calculate the expected profit for producing a product.Iron plates are required to have a certain thickness but each plate produced will differ slightly from each other due to properties of the material and uncertainties in the behaviour of the machines that make them. Let X be the plate thickness in mm of plates produced by a given machine. Using the machine's default setting, X follows a normal distribution with mean 12mm and standard deviation 1.5mm (a) What percentage of plates should be expected to be thinner than 10 mm? (b) What percentage of plates should be expected to be thicker than 15mm?th A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the population of th birth weights of babies born during the 24"" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.5 pounds of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Continue Submit As
- The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. What is the distribution of X? X ~ N (,) Please show the following answers to 4 decimal places. If a pregnancy randomly chosen in the village, find the probability that it lasted less than 244 days. If a pregnancy randomly chosen in the village, find the probability that it lasted between 290 and 298 days. Please show the following answer to a whole day. The 72nd percentile pregnancy length in this village is ___________ days.Assume that scores on a bone mineral desity test are normally distributed with a mean of 0 and a standard deviation of 1. b. what do the symbols mean^2 and standard deviation ^2 represent.Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 20 kg. What percentage of individual adult females have weights between 73 kg and 85 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 73 kg and 85 kg? The percentage of individual adult females with weights between 73 kg and 85 kg is 23.6 % (Round to one decimal place as needed.) The percentage of samples of 64 adult females with mean weights between 73 kg and 85 kg is (Round to one decimal place as needed.)
- Hugo averages 41 words per minute on a typing test with a standard deviation of 7.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X = the number of words per minute on a typing test. Then, X - N(41, 7.5). Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is x = 45 is This z-score tells you that standard deviations to the (right/left) of the mean, Correctly fill in the blanks in the statement above. Select the correct answer below: Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.533. This z-score tells you that x = 45 is 0.533 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.381. This z-score tells you that x = 45 is 0.381 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The…Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg, what is the minimum sample size needed for the researcher to be 99% confident that his estimate is within 4 mm Hg of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)Assume that adults have IQ scores that are normally distributed a mean of adult has an IQ less than 132 mu = 105 and a standard deviation sigma = 15 . Find the probability that a randomly selected adult has an IQ less than 132 the probability that a randomly selected adult has an IQ less than 132 is (type an integer or decimal rounded to four decimal places as needed)
- Suppose the length of time a person takes to use an ATM machine is normally distributed with mean u = 110 seconds and standard deviation o = 6 seconds. There aren = 4 people ahead of Jackson in a line of people waiting to use the machine. He is concerned about T = total time the four people will take to use the machine. n USE SALT (a) What is the mean value, u, of T = total time for the four people ahead of Jackson? (b) Assuming that the times for the four people are independent of each other, determine the standard deviation of T. (c) Jackson hopes the total time T is less than or equal to 404 seconds. Find P(T < 404), the probability that the total waiting time is less than 404 seconds. (Round the answer to four decimal places.) P(T < 404) =The mean of a distribution is 15 and the standard deviation is 3. Use Chebyshev's Theorem and the formula 1 - 1 / (k ^ 2) to determine the minimum percentage of values that will fall between 9 and 21A set of data is normally distributed with mean 51 and standard deviation 5. Determine the value of X corresponding to a z-score of -1.75. ** Answer to two decimal places **