Question

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes. Give your answer accurate to two decimal places…

Answer 1

Hello

To solve this question, we should understand we just have to find the difference in time between the two scenarios

The difference in time between 10 - 15 minutes is

$15-10=5$

The difference in time between 11 - 12 minutes is

$12-11=1$

The probability here would be

$\frac{1}{5}=0.2=20\text{ \%}$

The probability here is equal to 1/5 or 0.2 or 20%