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Hi! This problem follows the binomial distribution where there are only two outcomes - either Sandra gets a ride to work or not. A binomial distribution is modeled by the following equation:



where p is the probability of success for x trials and q is the probability of failure (n is the total number of trials). In the case of the problem p would be the probability of getting a ride which is equal to 0.7 while q would be 0.3.

To find the probability that she successfully gets a ride 3 out of 5 times, we just substitute 3 as the value of x:



Meanwhile, to find the probability that she gets AT LEAST 2 out of 5 rides, we just get the probability that she gets 1 ride or no ride at all then subtract the sum of these two probabilities from 1.






ANSWER: The probability that Sandra gets a ride 3 times in a 5-day work is 0.309, and the probability that she gets a ride at least 2 times in a 5-day work is 0.969.

Prior to the creation of the us constitution, the general view of representative government is that it only worked in very small-scale environments- essentially a city-state or smaller. otherwise, the actual reflection of popular will declined in the representatives (ie, the difference between 1 representative per 100 citizens and 1 representative per 10,000 citizens), and generally the whole process became inefficient and self-destructive.james madison, however, was like 'no beezy'. he remarked that small republics were prone to faction and thus collapsed quickly. a large republic, he said, had so many interests and factions that none could rule, and thus they had to moderate and compromise.

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