In mass

In the mass production of a product, the average dimension is 250 mm, whereas the dimensions of individual products due to inaccuracies in the production fluctuate around this mean value. The dimension of the products has a normal distribution with standard deviation a=10 mm

a) What is the probability that a randomly selected product will have a dimension within the limits < 242,268 > mm?
b) What percentage of produced products will have the value of the observed parameter less than 244.5 mm?

Final Answer:

p =  0.7522
p₂ =  27.43 %

Step-by-step explanation:

$$\begin{gathered} m=250\text{mm} \\ a=10\text{mm} \\ p(242<x<268)\dots N(m,a) \\ p=0.7522 \end{gathered}$$

$p_2=100\cdot 0.2743=27.43\%$

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