Question

section 5.2 homework
score: 10.67/15 answered: 11/15
question 12
150 baseball fans in chicago are asked whether they hate the cardinals. 141 of them answered \yes\.
the empirical probability that a randomly chosen fan will answer \yes\ is
the empirical probability that a randomly chosen fan will answer
o\ is
(note: enter each answer as a fraction or as a decimal rounded to the nearest hundredth.)

Explanation:

Step1: Calculate probability of 'yes'

The formula for empirical probability is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of fans who answered 'yes' is 141 and the total number of fans is 150. So, $P(\text{yes})=\frac{141}{150}= 0.94$.

Step2: Calculate probability of 'no'

The number of fans who answered 'no' is $150 - 141=9$. Then $P(\text{no})=\frac{9}{150}=0.06$.

Answer:

The empirical probability that a randomly - chosen fan will answer 'yes' is 0.94.
The empirical probability that a randomly - chosen fan will answer 'no' is 0.06.