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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. The lifetime of an Acme heat pump has an Exponential distribution with a mean of 12 years. Suppose that a random Acme heat pump is selected.arrow_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_forwardThe American Mineralogist (Oct. 2009) published a study of the evolution of uranium minerals in the Earth's crust. Researchers estimate that the trace amount of uranium x in reservoirs follows a uniform distribution ranging between 1 and 3 parts per million. Complete parts a through c. a. Find E(x) and interpret its value. Select the correct answer below and fill in the answer box to complete your choice. (Simplify your answer.) O A. E(X)= This value gives the minimum parts per million of uranium for the collection of all reservoirs on the Earth. O B. E(X)= This value gives the maximum parts per million of uranium for the collection of all reservoirs on the Earth. O C. E(x)= This value gives the mean parts per million of uranium for the collection of all reservoirs on the Earth. O D. E(X)= This value gives the mean parts per million of uranium in each reservoir on the Earth.arrow_forwardFind mean and standard deviation if n and p are 10 and 0.2 respectively.arrow_forward
- A math class completes an exam and it is found that the class mean is 85 and the standard deviation is 2. According to Chebyshev’s Theorem, find the interval for which at least 75% of the grades be.arrow_forwardA population has u= 50 and o = 5. If 10 points are added to every score in the population, what are the new values for the mean and standard deviation? O -50 and o-15 O -60 and o15 O -50 and a-5 O p-60 and a=5arrow_forwardQ13. Derive mean of gamma distribution.arrow_forward
- Derive the mean and variance of the t 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_forwardK 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_forward
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