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tino4ka555 [31]
3 years ago
7

X<-1 Please solve Need this asap

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer:

adh

Step-by-step explanation:

it is very easy

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Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe
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The event that either M1 or M2 fails has probability

P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})

by the addition rule. Failure events are independent, so

P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})

so that

P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2

Denote this probability by p. Then X follows a geometric distribution with this parameter p and has density

P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}

The expectation is \dfrac1p=\dfrac1{p_1+p_2-p_1p_2}.

7 0
4 years ago
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