CALCULATE THE PROBABILITIES OF THE FOLLOWING AND ADD ALSO THE GRAPH P (z > 2.92) P (-3.10 < z < 1.90) P (1.13 < z < 1.39) P (0 < z z0 ) = 0.7389 P (z < z0) = 0.0250 P (z < - 0.73) P (0< z <1.44) P (-2.81 < z <0)
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CALCULATE THE PROBABILITIES OF THE FOLLOWING AND ADD ALSO THE GRAPH
- P (z > 2.92)
- P (-3.10 < z < 1.90)
- P (1.13 < z < 1.39)
- P (0 < z <z0 ) = 0.1700
- P ( -z0< z < 0) = 0.3708
- P (z >z0 ) = 0.7389
- P (z < z0) = 0.0250
- P (z < - 0.73)
- P (0< z <1.44)
- P (-2.81 < z <0)
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- We assume that the temperature during the month of March follows a normal distribution with an expectation of 20 and a variation of 11.0889, noting that (P< 2)= 9772 and P(Z< 0.33)=0.6293 and P (Z< 1) = 0.8413, then P ( 21.11DISTRIBUTIONS stretches toward the higher values of x. The mean of the distribution n = 8 and p = .80 is 6.4, which results in the highest probabilities being near x = 6 and x = 7. Thus the peak of the distribution is nearer to 8 than to 0 and the distribution stretches back toward x = 0. In any binomial distribution the largest x value that can occur is n and the smallest value is zero. Thus the graph of any binomial distribution is constrained by zero and n. If the p value of the distribution is not .50, this constraint will result in the graph "piling up" at one end and being skewed at the other end. A manufacturing company produces 10,000 plastic mugs per week. This company supplies mugs to another company, which packages the mugs as part of picnic sets. The second company randomly samples 10 mugs sent from the supplier. If two or fewer of the sampled mugs are defective, the second company accepts the lot. What is the probability that the lot will be accepted if the mug…In a large high school of 2500 students, 21% of them are seniors. A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calculate probabilities? (That is does it meet the assumptions of the Central Limit Theorem?) What is the probability that the sample will contain less than 15% seniors? Insert the graph from Rguroo that gives the output for this question.Internet Browsers Recently, the top web browser had 51.74% of the market. In a random sample of 250 people, what is the probability that fewer than 110 did not use the top web browser? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. P(X<110)=The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 of young adults ages 20–39 in the United States. Apply the cnormal to find the probability that the number of individuals, X, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. Р(X > 122) — .356 IncorrectOne consumer wants to know if the average number of chips is less than 45 in a bag of Red Bird potato chips. A random sample of 100 was selected and the sample statistics werex=41.6 and s = 7.6. (i) What is the standard error of x? (ii) Using one or two sentences, briefly describe the Central Limit Theorem (CLT) for the sample mean. (ii) Does CLT hold for this test? Explain your reasoning. 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Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers H= 269 o = 10 283For each binomial probability statement below, determine the corresponding normal distribution probability statement after a continuity correction. 5. P(x2 109) 6. P(xs109) 7. P(x>109) 8. P(x 109.5) P(x 108.5) Drag each normal distribution probability statement given above to the number of the corresponding binomial probability statement below. 5. 6. 7. 8. Type here to searchSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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