Answer:
0.00135
Step-by-step explanation:
When given a random sample of numbers:
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation.
Standard deviation = √variance = √4 = 2
Mean = 45 ohms
A random sample of 9 such resistors
z = 47 - 45/2 / √9
z = 2/2/3
z = 3
P-value from Z-Table:
P(x<47) = 0.99865
P(x>47) = 1 - P(x<47) = 0.0013499
Approximately ≈ 0.00135
The probability that the average resistance will exceed 47 ohms is 0.00135
