Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of
1 answer:
Answer:
attached below
Step-by-step explanation:
Assuming that Y1 and Y2 are independent exponential random variable with mean 3
where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution
i.e. ∝ = 2 , and β = 1
note : U = 2X
Hence probability distribution function X =
Fx (x) = p( X ≤ x )
= p( U ≤ 2x )
= Fu (2x)
probability density function X
f (x) = = 2 Fu (2x)
attached below is the remaining part of the solution
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Answer:
Option (4)
Step-by-step explanation:
Given sequence is,
We can rewrite this sequence as,
There is a common ratio between the successive term and the previous term,
r =
r =
Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.
Since sum of infinite geometric sequence is represented by the formula,
, when r < 1
where 'a' = first term of the sequence
r = common ratio
Since common ratio of the given infinite series is greater than 1 which makes the series divergent.
Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.
Option (4) will be the answer.