at a science museum, visitors can compete to see who has a faster reaction time. competitors watch a red…

at a science museum, visitors can compete to see who has a faster reaction time. competitors watch a red screen, and the moment they see it turn from red to green, they push a button. the machine records their reaction times and also asks competitors to report their gender.\nmale female\nless than 0.3 seconds 3 5\n0.3 to 0.7 seconds 5 2\nwhat is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female?\nsimplify any fractions.

at a science museum, visitors can compete to see who has a faster reaction time. competitors watch a red screen, and the moment they see it turn from red to green, they push a button. the machine records their reaction times and also asks competitors to report their gender.\nmale female\nless than 0.3 seconds 3 5\n0.3 to 0.7 seconds 5 2\nwhat is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female?\nsimplify any fractions.

Answer

Explanation:

Step1: Find total number of competitors

Add up all the values in the table. $3 + 5+5 + 2=15$.

Step2: Find number of competitors who meet criteria

The number of female competitors who reacted in less than 0.3 seconds is 5.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{5}{15}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$