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