Find the joint density function for the pair
Consider two independent variables X and Y, where X is uniformly distributed on the interval [-1,1] and Y is exponentially distributed with mean 3. Find the joint density function for the pair (X, Y).
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It is estimated that 56% of the children between the ages of 3 and 5 years are already enrolled in school. In a sample of 350 children what is the probability that at least half are enrolled in school?
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The manufacturing of semiconductor chips produces 2% defective chips. Assume the chips are independent and that a lot contains 1000 chips.
Heat transfer by radiation, conduction, and convection with the ambient surroundings thus cycles the water temperature. Is such a cyclic process reversible or irreversible?
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