The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 16 minutes. What is the probability that

Question

3 years ago

8

washing dishes tonight will take me between 13 and 15 minutes?

1 answer:

poizon [28] · Answer 1 · 2022-06-20T12:05:13+03:00

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