Anyone please help? Thanks ECE 361: Probability for Engineers Hw # 1 July 5 in c

Question

Anyone please help? Thanks

ECE 361: Probability for Engineers Hw # 1 July 5 in class 1. The sample space of an experiment consists of the measured resistances of two resistors. Give three examples of partitions. A simple circuit is shown below. It has three subsystems. (a) Explain how the system operates if each system has a probability of success(S) and probability of failure (F). (b) If an event A is created such that exactly two out of the three function, identify the outcomes (c) If an event B is defined such that at least two of the three components function, identify the outcomes in B (d) If C is the event that the system functions, what are the outcomes in (C) (e) What is the complementary event of C. 2. 2 input output 3, A software manufacturer keeps track of support requests for its products (# 1 ) and (# 2). Based on the calls received, it has been estimated that p(A) 0.3 and p(B)-0.5 with A and B representing the events request for # 1 and request for # 2 respectively. (a) Why is it that p(A) + p (B)

Explanation / Answer

1)Solution:

LetR1andR2denote the measured resistances. The pair (R1,R2) is an outcome of theexperiment. Some partitions include

1. If we need to check that neither resistance is too high, a partition is

A1={R1<1002<100},A2={R1100} {R2100}. -------(1)

2. If we need to check whether the rst resistance exceeds the second resistance, apartition is

B1={R1> R2}B2={R1R2}. --------(2)

3. If we need to check whether each resistance doesn’t fall below a minimum value (inthis case 50 ohms forR1and 100 ohms forR2),

a partition isC1,C234whereC1={R1<502<100},C2={R1<502100}, ---------(3)

C3={R1502<100},C4={R1502100}. -----------( 4)

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