2. (10 points total) High power microwave tubes used for satellite communications have lifetimes that follow an exponent
Posted: Wed May 11, 2022 7:39 pm
2. (10 points total) High power microwave tubes used for
satellite communications have
lifetimes that follow an exponential distribution with E[X] = 3
years:
(a) (3 points) What is the probability that the life of a tub will
exceed 4 years?
(b) (3 points) Given that the tube is still working after 5 years,
what is the probability that it is still
working after 9 years?
(c) (4 points) Suppose in 2015 you had 40 operational satellites.
What is the expression for
the probability that 12 out of 40 satellites will still be working
in 2020?
satellite communications have
lifetimes that follow an exponential distribution with E[X] = 3
years:
(a) (3 points) What is the probability that the life of a tub will
exceed 4 years?
(b) (3 points) Given that the tube is still working after 5 years,
what is the probability that it is still
working after 9 years?
(c) (4 points) Suppose in 2015 you had 40 operational satellites.
What is the expression for
the probability that 12 out of 40 satellites will still be working
in 2020?