Let X ∼ Exp(λ). Suppose that during period τ no occurence happen. What is the probability that during another period s (after τ ) also no occurence happen?

Q: 7. The number of visible sun spots varies rhythmically from 10 to 110 per year over a period of…

A: Given: The sun spots varies from 10 to 110 per year over a period of 11 years. The 110 max last…

Q: If X has an exponential distribution, show thatP[(X Ú t + T)|(x ÚT)] = P(X Ú t)

A: Suppose X follows an exponential distribution with parameter λ. The RHS is given by:

Q: The probability that an event will not happen is P (E')= 0.69.   The probability that the event…

A: Given, The probability that an event will not happen is,

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 676 drivers were…

A:

Q: The X be a continuous random variable with cumulative distribution function 1 F(x) = 1 for x > 0…

A: From the given information, X be continuous random variable with cumulative distribution is,…

Q: Suppose one randomly chooses a values X on the interval (0, 2), and then random choosing a second…

A:

Q: Suppose we are modelling the spread of a disease using the SI model on a graph of degree 3. Let p be…

A: Given Information: Consider the given information in which we are modeling the spread of a disease…

Q: The amount of time that a surveillance camera will run without having to be reset is a r.v. X having…

A: Given that, the amount of time that a surveillance camera will run without having to be reset is a…

Q: Suppose that n observations are chosen at random from a continuous pdf fY(y).  What is the…

A: Suppose that n observations are chosen at random from a continuous distribution with a PDF fY(y)…

Q: Use the identity cos alpha cos beta = 1/2[cos(a-b)+cos(a+b)] to rewrite 2cos3xcos2x as a sum of trig…

A: The given identity