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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_forwardQ.3. Explain the relationship between the Poisson and exponential distribution.arrow_forward3. Helparrow_forward
- Lenovo produces laptop that last on average by 5 years. The life span of each laptop follows an exponential distribution. a. what is the rate of parameter in lambda? b. probability that laptop will last less than 4 years? c. probability that laptop will last between 3 to 6 years? d. probability that laptop will last more than 6 years?arrow_forwardQ13. Derive mean of gamma distribution.arrow_forwardAssume 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_forward
- Research 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_forwardAnswer the following:arrow_forwardThe sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. a. Find the probability that the sick - leave time of an employee in a month exceeds 140 hours. FOUR DECIMAL, SEND HANDWRITTEN SOLUTIONSarrow_forward
- d.Find the correlation coefficient between x and y. Show your calculations.e.Comment on the direction and the strength of the association between x and yf. Find the mean value of (x– y) and the standard deviation of (x – y). Show your calculations.arrow_forwardIf we are performing a two-tailed test of whether µ = 100, the probability of detecting a shift of the mean to 105 will be ________ the probability of detecting a shift of the mean to 110. a. equal to b. less than c. greater than d. not comparable toarrow_forwardComponents that are critical for the operation of electrical systems are replaced immediately upon failure. Suppose that the life time of a certain such component can be modeled by a lognormal distribution with mean u = 500 hours and standard deviation o = 100 hours. Find the median life time of the components. (Use four digits after the decimal point, e.g. 0.1234) Hint: You need to start by finding the values of 0 and w?. Type your answer..arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill