66% of all students at a college still need to take another math class. If 42 students are randomly selected, find the probability that a. Exactly 28 of them need to take another math class. b. At most 28 of them need to take another math class. c. At least 27 of them need to take another math class. d. Between 23 and 30 (including 23 and 30) of them need to take another math class
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
66% of all students at a college still need to take another math class. If 42 students are randomly selected, find the
a. Exactly 28 of them need to take another math class.
b. At most 28 of them need to take another math class.
c. At least 27 of them need to take another math class.
d. Between 23 and 30 (including 23 and 30) of them need to take another math class
It is given that the probability of a student still need to take another math class is 0.66 and the number of students is 42.
Let the variable X be the number of students need to take another math class.
X follows binomial distribution with n as 42 and p as 0.66.
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