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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?
Say, on average, 41.3 frogs cross a road during a 10-hour period of night. Frogs are not generally gregarious creatures, so they tend to cross one-by-one and independently. For example, the probability that a frog will cross during a one minute period is not influenced by whether a frog crossed in the previous minute. If the frogs cross the road at a constant average rate, what is the probability that exactly 12 frogs will cross in two hours?
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?
Vehicles have been arriving at a toll bridge at an average rate of 216 an hour. Only one toll booth is currently open and can process arrivals (collect tolls) at a mean rate of 20 seconds per vehicle. a. How many vehicles should be expected at the toll bridge in a 10-minute period? Please show how you arrived at your answer. b. Define X to be the number of vehicles arriving at the toll bridge in a 10-minute period and...
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...
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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...