Answer:
50% probability that washing dishes tonight will take me between 9 and 12 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, d greater than c, 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 8 minutes and 14 minutes.
This means that [tex]a = 8, b = 14[/tex]
What is the probability that washing dishes tonight will take me between 9 and 12 minutes?
[tex]P(9 \leq X \leq 12) = \frac{12 - 9}{14 - 8} = 0.5[/tex]
50% probability that washing dishes tonight will take me between 9 and 12 minutes
