Over 500 million tweets are sent per day (Digital Marketing Ramblings website, December 15, 2014). Assume...
Over 500 million tweets are sent per day (Digital Marketing Ramblings website, December 15, 2014). Assume that the number of tweets per hour follows a Poisson distribution and that Bob receives on average 7 tweets during his lunch hour. a. What is the probability that Bob receives no tweets during his lunch hour (to 4 decimals)? b. What is the probability that Bob receives at least tweets during his lunch hour (to 4 decimals)? For this question, if calculating the...
Over 500 million tweets are sent per day (Digital Marketing Ramblings website, December 15, 2014). Assume that the number of tweets per hour follows a Poisson distribution and that Bob receives on average 7 tweets during his lunch hour. a. What is the probability that Bob receives no tweets during his lunch hour (to 4 decimals)? b. What is the probability that Bob receives at least 4 tweets during his lunch hour (to 4 decimals)? c. What is the expected...
The number of messages sent to a computer website is a Poisson random variable with a mean of 5 messages per hour. a. What is the probability that 5 messages are received in 1 hours? b. What is the probability that fewer than 2 messages are received in 0.5 hour? c. Let Y be the random variable defined as the time between messages arriving to the computer bulletin board. What is the distribution of Y? What is the mean of...
Someone claims that the number of hits on his website has a Poisson distribution with mean three per half an hour. We would like to observe the website statistics during a period of two hours to figure out the number of hits during this period a)Define the random variable of interest, its support, and parameter values over this period b)What is the probability that number of hits will be at least 10 over this period
3. While taking a daily one-hour walk, a person finds coins on the ground according to a Poisson process at a rate of 30 coins per hour, 60% of the coins are pennies, 20% are nickels and 20% are dimes. a. Determine Poisson process rate for each type of coin. b. What is an expression for the value of the coins found during an hour (Use P for number of pennies, N for number of nickels and D for number...
The average number of customers arriving at a drive-through window of a bank branch is 39 per hour during lunch hours. Use X to denote the number of arrivals in a 5 minute time interval. Assume the customers arrive independently and the number of arrivals within each 5 minutes follows a Poisson distribution. Keep at least 4 decimal digits if the result has more decimal digits. I AM JUST LOOKING FOR WHAT FUNCTION/EQUATION TO PUT INTO MY CALCULATOR TO GET...
[10 marks] Parking spaces near the university are taken almost immediately during the day, as they become available. The event of a parking space becoming available follows a Poisson process with rate A 1 space per 3 minutes (a) What is the expected value and variance for the number of parking spaces becoming available in an hour? 2 marks What is the expected waiting time for a space to become available? [1 marks] (b) A student has been waiting for...
Warnings of a possible virus attack on a particular laptop can be modeled as a Poisson process with 1 warning per hour. a) A person received 3 warnings in the last 1 hour of which 1 warning was 15 minutes back. What is the probability that this person has to wait for more than 3 hours for his next warning? b) In a 3-hour software update going on a laptop of 200 people, what is the probability that less than...
Each sweat shop worker at a computer factory can put together 4.1 computers per hour on average with a standard deviation of 1 computers. 45 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,) What is the...