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. male female less than 0.3 seconds 3 5 0.3 to 0.7 seconds 5 2 what is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female? simplify 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. male female less than 0.3 seconds 3 5 0.3 to 0.7 seconds 5 2 what is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of competitors

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

Step2: Identify favorable - cases

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

Step3: Calculate probability

Probability $P=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}=\frac{5}{15}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$