Question

Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.

Short answer

Yes, not independent.

Step-by-step solution

Step 1. Given Information

The two-way table shows who lives and who dies among adult passengers. Consider the fact that$D$ is a democrat, $R$ is a republican, and$F$ is a female.

Step 2. Concept Used

$P(A/B)=\frac{P(AandB)}{P\left(B\right)}$

The number of favorable outcomes divided by the total number of possible outcomes equals probability. As a result, the following is a definition of conditional probability:

Step 3. Calculation

$P\left(D\right|F)=\frac{13}{17}\approx 0.7647$

$P\left(D\right)=\frac{60}{100}\approx 0.6$

There should be no difference in likelihood because $D$ and $F$ are unrelated.

As a result, they are not self-sufficient.