Answer:
14.29% probability that washing dishes tonight will take between 14 and 15 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d is given by the following formula.
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.
This means that [tex]a = 11, b = 18[/tex]
What is the probability that washing dishes tonight will take me between 14 and 15 minutes?
[tex]P(14 \leq X \leq 14) = \frac{15 - 14}{18 - 11} = 0.1429[/tex]
14.29% probability that washing dishes tonight will take between 14 and 15 minutes.
