Concept explainers
Let X ~ Exp(0.l).
a. decay rate = _________
b.
c. Graph the
d. On the graph, shade the area corresponding to P(x < 6) and find the probability.
e. Sketch a new graph, shade the area corresponding to P( 3 < x < 6) and find the probability.
f. Sketch a new graph, shade the area corresponding to P(x < 7) and find the probability.
g. Sketch a new graph, shade the area corresponding to the 40th percentile and find the value.
h. Find the average value of x.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Introductory Statistics
Additional Math Textbook Solutions
Calculus Volume 1
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Introductory Statistics
Essentials of Statistics (6th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious problem in hemlock trees. Researchers have developed the following function that estimates the probability P that a given hemlock tree has ring shake: P(A,B,D)=11+e3.680.016A0.77B0.12D where A is the age of the tree yr, B is 1 if bird pecking is present and 0 otherwise, and D is the diameter in. of the tree at breast height. Source: Forest Products Journal. a. Estimate the probability that a 150-year-old tree with bird pecking present and a breast height diameter of 20in., will have ring shake. b. Estimate the probability that a 150-year-old tree, with no presence of bird pecking and a breast height diameter of 20in., will have ring shake. c. Develop a statement about what can be said about the influence have on the probability of ring shake. d. Using the total differential, estimate the probability if the actual age of the tree was 160 years and the diameter at breast height was 25in., Assume that no bird pecking was present. Compare your answer to the actual value. Hint: Assume that B=0 and exclude that variable from your calculations e. Comment on the practicality of using differentials in part d.arrow_forwardLIFE SCIENCE APPLICATIONS Length of Life According to recent data from the Teachers Insurance and Annuity Association TIAA, the survival function for life after 65 is approximately given by S(x)=10.058x0.076x2, where x is measured in decades. This function gives the probability that an individual who reaches the age of 65 will live at least x decades 10x years longer. Source: Ralph DeMarr . a. Find the median length of life for people who reach 65, that is, the age for which the survival rate is 0.50. b. Find the age beyond which virtually nobody lives. There are, of course, exceptions.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning