Answer: 0.4
Step-by-step explanation:
The probability density function for uniformly distribution with interval [a,b] is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex]
Given : The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 16 minutes.
Probability density function : [tex]f(x)=\dfrac{1}{5}=0.2[/tex]
Now, the probability that washing dishes tonight will take me between 13 and 15 minutes will be :-
[tex]=(15-13)\times0.2=0.4[/tex]
Hence, the probability that washing dishes tonight will take me between 13 and 15 minutes = 0.4
