Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary test is acted in two consecutive preliminaries by first drawing a marble arbitrarily from enclose An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn arbitrarily from box B.

Answer the accompanying inquiries.

Are the two preliminaries autonomous or subordinate? Offer motivations to help your response

Draw a likelihood tree outline to show the execution of this arbitrary trial.

What is the likelihood of drawing a white marble from box B toward the finish of second preliminary?

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

Distinguish every one of the totally unrelated occasions present in the given situation and check that they

are fundamentally unrelated.

In the event that we switch the situation, what is the likelihood of drawing a dark marble from

box A given that a white marble is drawn from box B.

Toward the finish of summer, the complete load of seeds aggregated by a home of seed-assembling insects will fluctuate from one home to another. On the off chance that the normal all out weight of seeds assembled by an arbitrarily picked home is 5 pounds, and the standarddeviationis0.5pounds,whatistheprobabilitythatthetotalcombinedweightoftheseedsgatheredby100 homes will be bigger than 495 pounds before the finish of the following summer? To respond to this inquiry most precisely, given the data accessible, we would utilize:

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1. Chebyshev's hypothesis 2.Markov's hypothesis (3.The Central Limit Theorem 4.The joint likelihood that the heaviness of seeds is bigger than 5 pounds in each home.

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary test is acted in two successive preliminaries by first drawing a marble haphazardly from enclose An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn haphazardly from box B.

Answer the accompanying inquiries.

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

Distinguish every one of the totally unrelated occasions present in the given situation and check that they are totally unrelated.

Assuming we invert the situation, what is the likelihood of drawing a dark marble from box A given that a white marble is drawn from box B.

Assume in a class there are 170 understudies. Of those 170 understudies, 90 are guys and 80 are females. Among 90 male understudies, 55 like playing the sport of football and 35 don't care for it. Among 80 female understudies, 10 like playing the sport of football and 70 don't care for it.

Address this data as a cross classification or likelihood possibility table.

Show likelihood tree outlines for every one of the conceivable irregular occasions that can happen (with their probabilities) if an understudy is picked haphazardly in this class.