40% of UNF students are male. Suppose you decide to randomly select 15 UNF students and observe if they are male or not.
a. Describe the random variable X associated with this experiment and then calculate its variance.
b. Compute the probability that 5 students are males from the 15 selected.
c. Compute the probability that 5 students or less are males from the 15 selected.
d. Compute the probability that less than 5 students are males from the 15 selected.
e. Compute the probability that there are 33.3% or less males in your sample.
f. Compute the probability that there are more than 45% males in your sample.
g. 10% of samples of 15 students have proportion of males more than_______________%.