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
