Solve the problem.
-If 3 balls are drawn from a bag containing 3 red and 4 blue balls, what is the expected number of Red balls in the sample?
A) 1.29
B) 0.89
C) 1.39
D) 1.54

Question

Quizplus · Accepted Answer

The expected number of Red balls can be calculated using the formula for expectation in a hypergeometric distribution, which is $E[X] = n \times \frac{K}{N}$, where $n$ is the number of draws (3 balls), $K$ is the total number of Red balls (3), and $N$ is the total number of balls (7). Thus, $E[X] = 3 \times \frac{3}{7} = \frac{9}{7} \approx 1.29$.

Solve the Problem. -If 3 Balls Are Drawn from a Bag Containing 3