Can memoryless property be written as P(X> t+s| X>s)= P(X > t)

Explain the memoryless property the exponential distribution (2 marks) f. State two limitations of Operations Research.

Let X be the number of independent coin tosses it takes to see the first head, where the coin has probability p of landing on its head. That is, X is a geometric random variable with parameter p. a) Use the above characterization to write the probability mass function of X. b) Show that X has the memoryless property: P(X>= k+l | X>=l) = P(X>=k) for every pair of integers k, l >=0. ( This can be done in two ways, one computational, and one via a soft argument.)

LTM is assumed to be what?*1 pointLess-term MemoryLost-time MemoryLong-time MemoryLong-term Memory

Constructive processesMultiple Choicerequire information that can be recalled for a long period of time.occur when memories are influenced by the meaning we give an event.present the idea that language is learned through conditioning.is chunk information stored in memory that affects the recall of information.

Let Ω be the sample space and A⊆Ω be an event. Given below are two statements:(S1): If P(A)=0, then A=ϕ(S2): If P(A)=1, then A=ΩThenonly (S1) is trueonly (S2) is trueboth (S1) and (S2) are trueboth (S1) and (S2) are false