3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on campus. Also, assume that living on campus is independent of the class of the student.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Solve 3 d and e
Given,
The probability that the students are freshmen is pf=0.30
The probability that the students live on campus is pc=0.60
Let X be the random variable that denotes the no. of students that are freshmen.
Therefore X~Binomial(n,pf)
Let Y be the random variable that denotes the no. of students that live in campus.
Therefore Y~Binomial(n,pc)
d). If three random students are selected, then n=3
Therefore, the required probability that all three students live on campus is obtained as-
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