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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
29. Between −2.00 and 2.00
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Chapter 6 Solutions
Essentials of Statistics, Loose-Leaf Edition PLUS MyLab Statistics with Pearson eText -- Access Card Package (6th Edition)
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- 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_forwardEagles always lay three eggs at a time. The number of eggs that hatch is described by the following probability distribution: 1. P(X = x) 0.1 0.3 0.4 0.2 Find the mean, variance and standard deviation. Write your solution on your paper. 3.arrow_forwardA 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_forward
- Q.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_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_forward
- Find mean and standard deviation if n and p are 10 and 0.2 respectively.arrow_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_forwardDerive the mean and variance of the t distribution.arrow_forward
- Q13. 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_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
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