In: Statistics and Probability
Problem 1) W congested computer network has a 2% chance of losing a data packet (lost packets must be resent), and a packet losses are independent events. An e-mail message requires 100 packages.
(1) what is the distribution of the number of data packets that must be resent? Please choose one below.
(A) Binomial (B) Geometric (C) Poisson
(2) What is the probability that at least one packet must be resent?
(3) What is the mean of the number of packets that must be resent?
(4) What is the standard deviation of the number of packets that must be resent?
Problem 2) From 500 customers, a major appliance manufacturer randomly selects 5 customers without replacements. The company estimates that 125 of the customers will reply to the survey.
(1) What are the possible values that X takes where X = the number in the same reply tot he survey?
(2) What is the probability that at most one customers in the sample reply tot he survey?