Questions Flashcards
P(FUR) = 0.49, P(Fc) = 0.62, P(F|R) = 0.38
P(R) = ?
0.1774
P(G) = 0.87, P(Q) = 0.65, P(G|Qc) = P(G)
P(GuQ) = ?
0.9545
Consider a system with 6 components connected in series. The system is built to perform a certain task and each component is built to perform a certain subtask. Since the components are connected in series, the system fails to perform its task if any one of the components fails to perform their subtask. Equivalently the system succeeds at performing its task only if each of the components succeed at performing their subtasks.
Suppose each individual component has the same probability
𝑝
p of succeeding at their subtask.
Can you determine the probability that the system succeeds at performing its task?
No, because we do not know if the events are independent
P(N) = 0.6, P(M) = 0.23, P(NnM) = 0.07
XOR of NM
0.69
Charlie is building a camera-drone which flies on its own and keeps track of its distance from the controller. He has programmed his controller in such a way that an alarm goes off when the drone gets too far away from the controller.
Let A be the event “the alarm goes off” and F “the drone flies too far away.”
The probability of the drone flying too far away is 0.12 and there is a probability of 0.93 that the alarm goes off when the drone is actually flying too far away.
There is a probability of 5% that the alarm goes off without a reason.
What is the probability that the alarm goes off?
0.1556
X~Pois(3)
Find P(X<=3)
1/e^3 + 3/e^3 + 3^2/2e^3 + 3^3/6e^3
During rush hour in Nashville the number of cyclists that pass an intersection during one hour is 1203 .
Compute the probability that the time that passes between two cyclists is more than 5.2 seconds. Give your answer with three decimals.
e^(-(1203/(6060)5.2)
