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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 207
/
5
/
b
/
i
/
Solution
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2022
iii
Paper 207
5
b
i
2026-09-28
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For independent
exponential distributions
, the
numerator
from part
a
(ii) is
∫
0
c
λ
1
e
−
(
λ
1
+
λ
2
)
t
d
t
=
λ
1
+
λ
2
λ
1
{
1
−
e
−
(
λ
1
+
λ
2
)
c
}
,
(1)
while the
denominator
is the expression in braces. Their
ratio
is
λ
1
+
λ
2
λ
1
.
(2)
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(12)
i
b
5
Paper 207
iii
2022
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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