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(Solved): Three resistors, with resistances R1,R2, and R3 are connected in series, R1 is normally ...



Three resistors, with resistances \( R_{1}, R_{2} \), and \( R_{3} \) are connected in series, \( R_{1} \) is normally distri
Three resistors, with resistances , and are connected in series, is normally distributed with a mean of and a standard deviation of is normally distributed with a mean of and a standard deviation of , and is normally distributed with a mean of and a standard deviation of . What is the probability that total resistance exceeds ?


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given:
Here, we are given that R1 follows a normal distribution with a mean of 110 and a standard distribution of 15. So, using standard notation we can write, R1 ~ N(110, 15^2)
Similarly, we can write,
R2 ~ N(135, 12^2)
R3 ~ N(120, 16^2)

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