Question

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 20 minutes.What is the probability that washing dishes tonight will take me between 12 and 14 minutes?Give your answer accurate to two decimal places.

Answer 1

To be able to solve for the probability, let's solve for the probability density function first. The formula is:

`f(x)=(1)/(b-a)`

where b is the highest value and a is the lowest value in the distribution.

Based on the problem, b = 20 and a = 11. Let's apply that the formula above.

`f(x)=(1)/(20-11)=(1)/(9)`

The probability density function f(x) = 1/9.

Now, to solve the probability of washing the dishes between 12 and 14 minutes, we have:

[tex]P(12Therefore, the probability of washing the dishes between 12 and 14 minutes is 0.22.