Acampus program evenly enrolls undergraduate and graduate students. if a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet, what is the probability that all 4 students selected are undergraduate students?

a. 0.0256
b. 0.0625
c. 0.16
d. 100

B. 0.0625

Step-by-step explanation:

Given that the program has graduated and undergraduates enrolled,

Let the probability of selecting a graduate = p(g)

And the probability of selecting an undergraduate = p(u)

p(g) = p(u) = 50% = 0.5

Therefore,

Probability of selecting 4 students who are undergraduates

=p(u)p(u)p(u)p(u)

= 0.5 × 0.5 × 0.5 × 0.5

= 0.0625

The right option is B

answer: 45

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.