Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The maximum wait is 
The minimum wait would be 
Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as
Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as
First, we draw our line.
|------------------------------------------------------------------------------------|
a e
Next, break up this line into segments using the information.
|----------------------|----------------------|--------------------|------------------|
a b c d e
The entire line is 29.
ab + bc + cd + de = ae
ab + bc + cd + de = 29
You also know that
bd = bc + cd
Due to midpoint theorem,
ab = bc
cd = de
Then,
2ab + 2cd = 29
The equations we will use are
bd = bc + cd eq1
2bc + 2cd = 29 eq2
Dividing both sides of the equation in eq2 yields
bc + cd = 14.5
bd = bc + cd
bd = 14.5
Answer:
1.53 would be the answer
Step-by-step explanation:
If you are rounding to the nearest hundredth you are rounding to the 2nd decimal place. Since the next number is under 5, we would just drop it.
The probability is 10/12. If you need it as a decimal, it should be about 8.3%
