Question

QUESTION 1 2 points Save Answer You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts. Let N be the number of attempts until the first success. What type of random variable is N? Bernoulli Binomial Geometric O Poisson QUESTION 2 2 points Save Answer You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts. Let Y denote the number of successful attempts out of 20. What type of random variable is Y? Bernoulli Binomial Geometric Poisson

Answer 1

• The Bernoulli distribution is a discrete distribution having two possible outcomes labelled by and in which ("success") occurs with probability and ("failure") occurs with probability , where
• The binomial distribution, therefore, represents the probability for x successes in n trials, given a success probability p for each trial.
• The geometric distribution deals with the number of trials required for a single success.
• The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period

Q1. GEOMETRIC ( no. of trial before first success)

Q2. BINOMIAL ( no . of success out of 20 independent trials)

Q3. BERNOULLI ( Assign 2 values, 0 and 1 to success and failures)

Q4. P( success ) = p =1/5  

AVERAGE NUMBER OF ATTEMPTS INTIL THE FIRST SUCCESS = 1/p = 1/ (1/5) = 5

** Sorry as HOMEWORKLIB RULES. we can solve only 4 questions ata a time,