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Sagot :
The required probability is,
[tex]P(z>2)=0.02275[/tex]
Computation:
The probability seal properly fits the valve is,
[tex]P(x_s-x_v>2)[/tex]
Solving the above we get,
[tex]P(\frac{x_s-x_v-(\mu _s-\mu _v)}{s_D(x_s-x_v)}>\frac{2-(51-50)}{\sqrt{(0.3)^2+(0.4)^2}})\\=P(Z>2)\\=0.02275[/tex]
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