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Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are
24. Greater than −3.05
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- Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers to four decimal places.Greater than −3.05arrow_forwardFor Exercises 27–30, calculate the (a) range, (b) arithmetic mean, and (c) variance, and (d) interpret the statistics.arrow_forwardComplete the table below and find the variance and standard deviation of the ff. probability distribution. (Answer should be in yellow pad.) V. ASSESSMENT 1. x•P(x) X2•P(x) P(x) 3/10 10 2/10 2/10 2/10 4 25arrow_forward
- Find mean and standard deviation if n and p are 10 and 0.2 respectively.arrow_forward6 Joan records the temperature every day. The highest temperature she recorded was 29 °C to the nearest degree. Let X represent the error in the measured temperature. a Suggest a suitable model for the distribution of X. b Using your model, calculate the probability that the error will be less than 0.2°C. e Find the variance of the error in the measured temperature.arrow_forwardDerive the mean and variance of the t distribution.arrow_forward
- Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 129. Click to view page 1 of the table. Click to view page 2 of the table. 0 The probability that a randomly selected adult has an IQ less than 129 is (Type an integer or decimal rounded to four decimal places as needed.) 29 14 8 F5 ► 11 % F6 A F7 & F8 00 = F9 * F10 √ F11 O (1,0) F12 T More PrtScr (8") + Insert Delete Rackspace PgUp Num Lock Next PgDn X Homearrow_forwardDoes the Normal Probability plot look linear and do we use the t-procedure?arrow_forwardK Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 126. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 126 is (Type an integer or decimal rounded to four decimal places as needed.)arrow_forward
- K Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 89 and 121. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 89 and 121 is (Type an integer or decimal rounded to four decimal places as needed.)arrow_forwardResearch suggested that the distribution of amount of dissolved solids (D) at wastewater treatment plant is lognormal distribution with mean value 10260 kg/day/km and a coefficient of variation of 40 %. 1. What is the probability that D is at most 15050 kg/day/km? 2. What is the probability that Dexceeds the mean of the distribution? Is it 50%? Why/Why not? Note. Provide final solution for each questions below. Detailed solution to be uploaded.arrow_forwardConsider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt