4. Customers arrive at a bank teller's drive-through window in accordance with a Poisson process, with a meanrate of 1.2 persons per minute.(a) What is the probability of zero arrivals in one minute?(b) What is the probability of zero arrivals in two minutes?(c) What is the probability of zero arrivals in the next one minute given there is no arrival in the previous minute?(d) What is the distribution of the interarrival times?(e) What is the probability that the interarrival time is between 2 and 3 minutes?

The provided information is as follows:The mean is persons per minute.The process is a Poisson…

Answered: Customers arrive at a bank teller's…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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USA Today reported that Parkfield, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Parkfield has had a major earthquake on the average of 2.2 times every 22 years. (a) Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. select one Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are independent. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are dependent. Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are dependent. (b) Compute the probability of at least one major earthquake in the next 22 years. Round ? to the nearest hundredth, and use a calculator. (Use 4 decimal places.)(c) Compute the probability that there…
Eighty percent of the students at a particular large university have logged on to Facebook at least once in the past week. A sample of 118 students is asked about their internet habits. Use the Cumulative Normal Distribution Table or technology. Round your answers to four decimal places. (a)What is the probability that less than 75% of the sampled students have logged on to Facebook within the last week? (b)What is the probability that more than 71% of the sampled students have logged on to Facebook within the last week? (c)What is the probability that the proportion of the sampled students who have logged on to Facebook within the last week is between 0.81 and 0.84 ?
Urgent
A European growth mutual fund specializes in stocks from the British Isles, continental Europe, and Scandinavia. The fund has over 450 stocks. Let x be a random variable that represents the monthly percentage return for this fund. Suppose x has mean ? = 1.1% and standard deviation ? = 1.5%. a) After 9 months, what is the probability that the average monthly percentage return x will be between 1% and 2%? (Round your answer to four decimal places.) b) After 18 months, what is the probability that the average monthly percentage return x will be between 1% and 2%? (Round your answer to four decimal places.) c) If after 18 months the average monthly percentage return x is more than 2%, would that tend to shake your confidence in the statement that ? = 1.1%? If this happened, do you think the European stock market might be heating up? (Round your answer to four decimal places.) P(x > 2%) =
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Question: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped four times. What is the expected value of this distribution?
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