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If 10 people are given the vaccine what is the probability that at least 8 of them will develop immunity to the virus?

If 10 people are given the vaccine what is the probability that at least 8 of them will develop immunity to the virus? A test was conducted regarding the reading skills of fourths graders. The resulting data is normally distributed with a mean of 75 and a standard deviation of 8.5. The lowest 6.3% of the students are required to retake the exam before the end of the school year. If a random student is chosen what is the probability that he or she scores less than 59? What score indicates that the student has to retake the exam?

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