500 baseball fans in new york are asked whether they hate the red sox. 410 of them answered \yes\. the…

500 baseball fans in new york are asked whether they hate the red sox. 410 of them answered \yes\. the empirical probability that a randomly chosen fan will answer \yes\ is blank. the empirical probability that a randomly chosen fan will answer \no\ is blank. (note: enter each answer as a fraction or as a decimal rounded to the nearest hundredth.)

500 baseball fans in new york are asked whether they hate the red sox. 410 of them answered \yes\. the empirical probability that a randomly chosen fan will answer \yes\ is blank. the empirical probability that a randomly chosen fan will answer \no\ is blank. (note: enter each answer as a fraction or as a decimal rounded to the nearest hundredth.)

Answer

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 410 and the total number of fans is 500. So the probability of answering "yes" is $P(\text{yes})=\frac{410}{500}=\frac{41}{50}= 0.82$.

Step2: Calculate probability of "no"

The number of fans who answered "no" is $500 - 410=90$. Using the empirical - probability formula, the probability of answering "no" is $P(\text{no})=\frac{90}{500}=\frac{9}{50}=0.18$.

Answer:

The empirical probability that a randomly chosen fan will answer "yes" is 0.82. The empirical probability that a randomly chosen fan will answer "no" is 0.18.