Question

1. (3pts each) the probability that a randomly selected math 164 student will transfer is 0.6. assume that students are independent. a) the probability that 3 randomly selected math 164 students will all transfer is

Explanation:

Step1: Recall probability formula for independent events

For independent events $A$, $B$, $C$, the probability that all occur is $P(A\cap B\cap C)=P(A)\times P(B)\times P(C)$. Here, the probability that a single student transfers $p = 0.6$, and we have 3 students.

Step2: Calculate the probability

Let $p_1=p_2=p_3 = 0.6$. Then the probability that 3 students all transfer is $P=p_1\times p_2\times p_3=0.6\times0.6\times0.6$.
$P = 0.216$

Answer:

$0.216$