Answer:
probability will be
Step-by-step explanation:
For the normal distribution curves, it is easier to find probability when the medium of distribution is converted to z table.
For Z conversion the mean will be marked as z=0, z=1 will be marked as the point (mean + variance), z=2 will be marked (mean + variance + variance) and so on. Where as z=-1 will have (mean- variance), z=-2 as (mean - variance-variance).
For the given condition 125125mm will be marked z=0.
z=1 will be for 127650 diameter (125125 + 2525 = 127650)
z=2 will denote the diameter 130175.
z=-1 will denote 122600 (125125-2525).
z=-2 will denote 120075.
So, we find the z equivalent value for the asked diameter and find the probability from the given z table (attached). Z value for diameter 130130 is found to be 1.019 (130130/127650)
Important thing is Z table shows probability for less than the particular z value, so if you want to find a greater than marked probability we have to convert it into less than marked probability.
As net probability always makes 1.
This means that for example:
(Probability for a value greater than 15) + (Probability for a value less than equal to 15) = 1.
Thus in our case:
1 = P(diameter < = 130130) + P(diameter > 130130) {P shows probability}
so, P(d > 130130) = 1 - P(d < = 130130) {d stands for diameter}
Thus value of P is found to be:
P (1.019) = P (1.02) = 0.8461
So, P (d > 130130) = 1 - 0.8461 = 0.1539.