Answer:
There is no exponential function passing through (1,1) and (5,5).
Step-by-step explanation:
We have the following exponential function
The function passes through these two points:
(1,1): This means that when t = 1, y = 1
(5,5): This means that when t = 5, y = 5.
So
(1,1)
(5,5)
From above, we have that:
1 cannot be equal to 1/5, so this is wrong.
This means that there is no exponential function passing through (1,1) and (5,5).
Answer:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134
Step-by-step explanation:
For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:
The cumulative distribution function is given by:
The expected value is given by:
And we want to find the following probability:
And we can find this probability on this way:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134