Find the mean and standard deviation of the specified probability density function.f(x) = 0.6e-0.6x for [0, ?)

A. ? = 16.67, ? = 16.67
B. ? = 1.5, ? = 1.5
C. ? = 1.67, ? = 1.67
D. ? = 1.71, ? = 1.67


Answer: C

Mathematics

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National Welding Company uses industrial robots in some of its assembly-line operations. Management has determined that the lengths of time in hours between breakdowns are exponentially distributed with probability density function . ? What is the probability that a robot selected at random will break down between 400 and 500 hr of use? Round your answer to the nearest hundredth. ?

A. 0.06 B. ?0.30 C. ?0.15 D. ?0.79 E. ?0.51

Mathematics

Multiply and simplify. ? 

A. 5m
B.
C.
D. 10

Mathematics

(a) Find the quotient q and remainder r for f =  and write f in the form f = q + . (b) Then state the end behavior model for f. f(x) = 

A. (a) f(x) = x2 - 8x + 31 + 
(b) q(x) = x2 - 8x + 31
B. (a) f(x) = x2 - 8x + 31 + 
(b) q(x) = x2 - 8x + 31
C. (a) f(x) = x2 + x - 5 + 
(b) q(x) = x2 + x - 5
D. (a) f(x) = x2 + x - 5 + 
(b) q(x) = x2 + x - 5

Mathematics

Use the vertical line test to determine if the graph is a function.

A. Yes B. No

Mathematics