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Sagot :
The probability that a given student is called upon j times during the term
b(32,j,1/80) = (32/j)∗(1/80)j∗(79/80)(32−j)
Probability:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
given that
In a class of 80 students, the professor calls on 1 at random for a recitation in each class period
there are 32 class periods in a term
the probability that a given student is called upon j times during the term
b(32,j,1/80) = (32/j)∗(1/80)j∗(79/80)(32−j)
To learn more about Probability:
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