If you roll a die 48 times and 8 of the rolls result in a "5," what empirical probability was observed for the event "5"? (Give your answer correct to three decimal places.)
To find the empirical probability of event "5," you would divide the number of times event "5" occurred by the total number of trials (rolls of the die). In this case, the event "5" occurred 8 times out of the 48 rolls.
Empirical probability = Number of times event occurred / Total number of trials
Empirical probability = 8 / 48
Simplifying, we get:
Empirical probability = 1 / 6
To calculate the empirical probability, we convert this fraction to a decimal value:
Empirical probability = 0.167
Therefore, the empirical probability observed for the event "5" is 0.167, correct to three decimal places.