A component box contains 4 different types of electrical components. Every component designed to work for a specific lifetime (suppose 200 hours). The probability that 1st type of component will work for more than 150 hours is 0.8, while the corresponding probabilities for 2nd, 3rd and 4th type of components to work is 0.75, 0.4 and 0.5, respectively. The availability of the components in the box is 28% for type 1, 20 % for type 2, 30% for type 3 and 22% for type 4. Calculate a) The probability that a randomly selected components will work for more than 150 hours. b) If the selected component performed more than 150 hours, the conditional probability that it is of which type (1ª, 2nd, 3rd or 4th).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.