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3 years ago

5

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

12÷5=2.4

Step-by-step explanation:

ano ba lesson nyo po

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3 years ago

A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the m

nekit [7.7K]

Answer:

Step-by-step explanation:

From the given information:

Assuming we have an integer c to represent the components in the stocks.

Thus, the needed probability can be expressed as:

$P(X_1+X_2+ ........ X_c \ge 2000)$

To break this down, we have:

$P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )$

$P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0$

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n = 23

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The needed number of the components that should be in stock should be at least 23.

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3 years ago