The time it takes me to wash the dishes is uniformly distributed between 8 minutes and 17 minutes. What is the probability that washing dishes tonight will take me between 14 and 16 minutes?

Give your answer accurate to two decimal places.

The time it takes to wash has the probability density function,

The probability that it takes between 14 and 16 minutes to wash the dishes is given by the integral,

If you're not familiar with calculus, the probability is equal to the area under the graph of P(X = x), which is a rectangle with height 1/9 and length 16 - 14 = 2, so the area and hence probability is 2/9 ≈ 0.22.

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide