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# Refer to Example 5.4. The joint density of Y1, the proportion of the capacity of the ISBN: 9780495110811 47

## Solution for problem 5.5 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.5

Refer to Example 5.4. The joint density of Y1, the proportion of the capacity of the tank that is stocked at the beginning of the week, and Y2, the proportion of the capacity sold during the week, is given by f (y1, y2) = 3y1, 0 y2 y1 1, 0, elsewhere. a Find F(1/2, 1/3) = P(Y1 1/2, Y2 1/3). b Find P(Y2 Y1/2), the probability that the amount sold is less than half the amount purchased.

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Lecture 4: Gathering Useful Data for Examining Relationships 6.1 Speaking the Language of Research Studies Definitions: -­ Observational Studies: The researchers simply observe or measure the participants (about opinions, behaviors, or outcomes) and do not assign any treatments or conditions. Participants...

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##### ISBN: 9780495110811

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