Someone suggests that the lifetime T(in days) of a certain component can be modeled with the Weibull distribution with parameters ?= 3 and ?= 0.01.
a. If this model is correct, what is P(T ?1)?
b. Based on the answer to part (a), if the model is correct, would one day be an unusually short lifetime? Explain.
c. If you observed a component that lasted one day, would you find this model to be plausible? Explain.
d. If this model is correct, what is P(T ? 90)?
e. Based on the answer to part (d), if the model is correct, would 90 days be an unusually short lifetime? An unusually long lifetime? Explain.
f. If you observed a component that lasted 90 days, would you find this model to be plausible? Explain.
(a) 
(b) Yes. Only one component in 
will have a lifetime of 1 day or less if the model is correct.
(c) No, because a lifetime of 1 day is unusually short if the model is correct.
(d) 
(e) No. About half the components will have lifetimes of 90 days or less if the model is correct.
(f) Yes, since 90 days is neither an unusually short nor an unusually long lifetime.
You might also like to view...
The parts of the cell where respiration occurs are the ____________________ and ____________________
Fill in the blank(s) with correct word
A hypothesis is a scientifically proven cause of a problem
Indicate whether the statement is true or false
Wheel bearings are being packed with grease. Technician A says to use grease that is labeled "GC." Technician B says to use grease with an NLGI number of 2. Which technician is correct?
A) Technician A only B) Technician B only C) Both technicians A and B D) Neither technician A nor B
A circle divided into twelve equal parts makes each part 15° (180° ÷ 12 = 15°).
Answer the following statement true (T) or false (F)