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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.6 - Problem 6e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.6 - Problem 6e

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# Refer to Exercise 5. Suppose 10 circuits are constructed. ISBN: 9780073401331 38

## Solution for problem 6E Chapter 4.6

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

Problem 6E

Refer to Exercise 5. Suppose 10 circuits are constructed. Find the probability that 8 or more have voltages less than 200 volts.

Step-by-Step Solution:
Step 1 of 3

Solution 6E

Step1 of 3:

Let us consider resistance R in ohms it follows lognormal distribution with mean and variance That is Also current I amperes it follows lognormal distribution with mean and variance That is We need to find the probability that 8 or more have voltages less than 200 volts.

Step2 of 3:

Consider,     Here is obtained from statistical table(area under normal curve) (In a standard normal table we have to see in row 0.5 under column 0.04)  = 0.7054

Hence, =0.7054.

Step3 of 3:

If we construct 10 circuits then the probability that 8 or more have voltages less than 200 volts is given by Here is obtained from Excel by using the function “=Binomdist(x,n,p,false)”.

 X P(X>8) 8 0.2394206698 9 0.1273948408 10 0.03050384274

Therefore, the probability that 8 or more have voltages less than 200 volts is 0.0305.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

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