tal models the time to the next patient request for a mure as an Eoxponeatial di
ID: 3042237 • Letter: T
Question
tal models the time to the next patient request for a mure as an Eoxponeatial distribution 7. A hospital The expected wait time for the next patent request is 2 minutes. E )-a- the Exponential distibution? What is it oqual to in a. What is the of b. What is the probability that the murse waits between 1 and 3 minutes for a patient reoquest? sb c. The nurse has already waited 1 minute and has not received a patient request. What is the probability the nurse will have to wait more than a total of 2 minutes to receive a patient request? -C4) viiExplanation / Answer
a) mean = 2 minute
parameter = lambda = 1/2
b) P(X< x) = 1 -e^(-lambda * x)
= 1 - e^(-x/2)
P(1 <X< 3) =(1- e^(-3/2)) - (1 - e^(-1/2))
=0.3834004
c)
P(X > 2 |X > 1)
expontial distribution have memoryless property
hence
P(X > 2 |X > 1) = P(X > 1) = e^(-1/2)
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