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(a) Visits to a webpage occur on average 4 times in a 2-hour period. What is...
The number of visits to a website follows a poisson distribution with an average of 90 per hour. What is the probability that there will be at least 2 visits in one minute? What is the probability that the time between successive visits will be less than 0.5 minutes?
If we assume the number of visits to a blog has a Poisson distribution, with average of 99 visits per second. Let X be the waiting time until one visit to the blog: a) What distribution does X follow? State the probability density function of x and give an appropriate graphing rage of x for f(x) b) What is the probability that at least 50 seconds are needed until one visit occur?
An unbiased die is rolled 10 times. (a) What is the probability that exactly 4 threes will occur? (b) What is the probability that exactly 4 of any one number alone will occur? (c) What is the probability that two numbers occur exactly 4 times?
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
2) A basketball player scores 70% of his shots on average. What is the probability that he scores at least 18 successful shots tonight if he gets 20 shots? 5) A specific drive through receives 3 customers every 30 minutes on average. (a) What is the expected value of customers for them in an hour? (b) What is the probability that they receive exactly 5 customers in the next 90 minutes? (c) What is the chance that they do not...
Customers arrive at a garage at an average rate of 2 per five minute period. What is the probability that less than 15 arrive in a one hour 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...
please answer all parts!! A web site experiences traffic during normal working hours at a rate of fifteen visits per hour. Assume that the duration between visits has the exponential distribution (a) Find the probability that the duration between two successive visits to the web site is more than ten minutes. (Round your answer to four decimal places.) 00821 b) The top 25% f durations between visits are at least how long? (Round your answer to two decimal places. 1.15...
4. At a local hospital, babies are born at an average rate of four births per night (consider "night" to be an 8 hour period from 10pm to 6am). Assume that the time that elapsed from one birth to the next has the exponential distribution. Take note that we are concerned only with the rate at which babies are born, and we are ignoring the time spent in labor. We must also assume that the times spent between births are...
Question 4 An airway company reports that the number of airplanes landing per 8-hour shift follows a Poisson distribution with a mean of 3.5. a. What is the probability of exactly two airplanes land on the midnight shift? b. What is the probability of greater than one airplane lands in one hour? c. What is the probability that the time between two successive landing is at least two hours? d. If two hours have gone by without a landing, what...