Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
In this case,
where
Thus, by substitution, we have
Hence, the y-coordinate of the point P is
Answer:
a) P=0.535
b) P=0.204
c) P=0.286
Step-by-step explanation:
The exponential distribution is expressed as
In this example, λ=1/8=0.125 min⁻¹.
a) The probability of having to wait more than 5 minutes
b) The probability of having to wait between 10 and 20 minutes
c) The exponential distribution is memory-less, so it is independent of past events.
If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.