Question

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 16 minutes. What is the probability that washing dishes tonight will take me between 13 and 15 minutes?

Answer 1

Answer: 0.4

Step-by-step explanation:

The probability density function for uniformly distribution with interval [a,b] is given by :-

$f(x)=\dfrac{1}{b-a}$

Given : The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 16 minutes.

Probability density function : $f(x)=\dfrac{1}{5}=0.2$

Now, the probability that washing dishes tonight will take me between 13 and 15 minutes will be :-

$=(15-13)\times0.2=0.4$

Hence, the probability that washing dishes tonight will take me between 13 and 15 minutes = 0.4