Question

an experimental serum was injected into 500 guinea pigs. initially, 150 of the guinea pigs had circular cells, 75 had elliptical cells, and 275 had irregular cells. after the serum was injected, all of the guinea pigs with circular cells were affected, 25 with elliptical cells were affected, and none of those with irregular cells were affected. determine the empirical probability that a guinea pig with (a) circular cells, (b) elliptical cells, and (c) irregular cells will be affected by injection of serum.
a) the empirical probability that a guinea pig with circular cells will be affected by injection of the serum is 1
(type an integer or a simplified fraction.)
b) the empirical probability that a guinea pig with elliptical cells will be affected by injection of the serum is \\( \frac { 1 } { 3 } \\)
(type an integer or a simplified fraction.)
c) the empirical probability that a guinea pig with irregular cells will be affected by injection of the serum is \\( \square \\)
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the formula for empirical probability

The empirical probability \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)

Step2: Calculate for irregular cells

For irregular cells, the number of favorable outcomes (affected) is \(0\) and the total number of outcomes (number of guinea - pigs with irregular cells) is \(275\)

Using the formula \(P=\frac{0}{275}\)

Answer:

\(0\)