Columbia College Statistics and Probabilities Worksheet D8: In a certain college, 33% of all physics majors belong to the math club. Explain the method used and calculate the following:Does this scenario meet the criteria of a binomial probability distribution? Justify your answer by verifying each of the four conditions.If 10 students are selected at random from the physics majors, what is the probability that exactly 6 belong to the math club?If 10 students are selected at random from the physics majors, what is the probability that less than 6 belong to the math club?What is the probability that no more than 6 belong to the math club?What is the probability that more than 6 belong to the math club?Address the importance of understanding the terms “less than,” “no more than,” “greater than.”
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