Question 23 Suppose X has a Poisson distribution with a mean of 0.4. Determine the following...
Suppose X has a Poisson distribution with a mean of 7. Determine the following probabilities Round your answers to four decimal places (e.g. 98.7654) (a) P(X- o.0025 (b) P(X 2) = 0446 (c) P(X-4.1338 (d) P(x- 8.103:3
Please show work!!!! I don't just want the ANSWERS. I am here to learn. Suppose X has a Poisson distribution with a mean of 1.2. Determine the following probabilities. Round your answers to four decimal places (e.g. 98.7654) (a)P(X 1) (b)P(X s 3) (c)P(X - 7) (d)P(X- 2)
Question 1 Your answer is partially correct. Try again. Suppose the random variable Xhas a geometric distribution with p 0.7. Determine the following probabilities: (a) Px-1) (b) PX-4) (c) PX-8)- (d) P(X s 2)- (e) PX > 2)- 0.7 Round your answers to four decimal places (e.g. 98.7654)
Messages arrive to a computer server according to a Poisson distribution with a mean rate of 10 per hour. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that 9 messages will arrive in 2 hours? (b) What is the probability that 10 messages arrive in 75 minutes?
Suppose that X 1 has a Poisson distribution with mean 2, X 2has a Poisson distribution with mean 3 , X 3 has a Poisson distribution with mean 5 and that X 1 , X 2 and X 3 are independent. Define Y = X 1 + X 2 + X 3. Determine the moment-generating function for Y.
Question 3 Suppose that the random variable X has the Poisson distribution, with P (X0) 0.4. (a) Calculate the probability P (X <3) (b) Calculate the probability P (X-0| X <3) (c) Prove that Y X+1 does not have the Polsson distribution, by calculating P (Y0) Question 4 The random variable X is uniformly distributed on the interval (0, 2) and Y is exponentially distrib- uted with parameter λ (expected value 1 /2). Find the value of λ such that...
Suppose the random variable x has a Poisson Distribution with mean μ = 7.4. Find the standard deviation σ of x. Round your answer to two decimal places.
Suppose that f(x) -ex4) for 4 <x. Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765 a) P(1< X)= c) P(S < X)- d) P(8< X < 12)- e) Determine x such that P(X < x) = 0.68 . Round your answer to 3 decimal places (eg 98.765)
Verify that the following function is a probability mass function, and determine the requested probabilities. f (x) (512/73) (1/8)*x-1,2,3) Round your answers to four decimal places (e.g. 98.7654) Is the function a probability mass function? (a) P(X s 1) (b) P(X 1)- (e) P(2 <X 7) (d) P(X s2 or X > 2)-
Suppose that x has a Poisson distribution with μ = 5. (a) Compute the mean, μx, variance, σ2x , and standard deviation, σx. (Do not round your intermediate calculation. Round your final answer to 3 decimal places.) µx = , σx2 = , σx = (b) Calculate the intervals [μx ± 2σx] and [μx ± 3σx ]. Find the probability that x will be inside each of these intervals. Hint: When calculating probability, round up the lower interval to next...