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In January in a Certain City the Unconditional Probability of Rain

question 72

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In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of
Rain on a day following a nonrainy day is 0.250.
Find the probability that January 1st and January 2nd are rainy and that January 3rd and 4th are
Not rainy given that December 31st was clear all day.


Definitions:

Developmental Factor

Any influence, event, or condition that affects the growth and maturation of an individual, physically, mentally, or emotionally.

Personality Change

Alterations in an individual's characteristic patterns of thinking, feeling, and behaving over time.

Conscious Factor

Aspects of an individual’s psychological function that are within their immediate awareness and perception.

Unconscious Factor

Elements of thought and motivation that reside outside the conscious awareness but influence behavior and decisions.

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