-Customers arrive at a service facility according to a Poisson process of rate > 3 per hour. Given that 4 customers arrivedduring the first 4 hours of service (event A), what is the conditional probability that 3 customers arrived during the first hour(event B)?The conditional probability P(B | A) is

Customers arrive at a service facility according to a Poisson process of rate .

Answered: Customers arrive at a service facility…

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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Two dice are rolled. Events A, B, and C are as follows. A='The sum of the two dice is 3' B= 'The sum of the two dice is 7' C= 'At least one dice comes to 1' In this case, find the conditional probabilities P(A|C) and P(B|C) and decide whether events A and C, B, and C are independent?
Find the probability a randomly selected individual has attended 0 -2 years or is Female. [ Select ] When selecting two individuals with replacement, what is the probability both are Male? [ Select ] Find the conditional probability of selecting an individual with 0-2 years of college given the individual is Male. [ Select ]
A sample of 400 large companies showed that 110 of them offer free health fitness centers to their employees on the company premises. Enter the exact answers. a. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? Probability = Enter you answer in accordance to the item a) of the question statement b. What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Probability = Enter you answer in accordance to the item b) of the question statement c. Do these two probabilities add to 1.0? Choose you answer in accordance to the item c) of the question statement Yes.No.
A) what is the expected total number of staff (waiters and chefs) that will show up on any given day? B) what is the probability that three waiters will show up on any given day? C) what is the probaility that two chefs will show up on any given day?
(a) The number of calls at a call-centre on average is 5 in every minutes. Calculate the probability that at most 3 calls are received at the call-centre in the period of two minutes. (b) A message is sent through three possible routes with probabilities 0.3, 0.25 and 0.45, respectively. The probability of error through the three routes are 0.1, 0.2 and 0.4, respectively. Suppose that an error free message is received, what is the probability that the message was sent through the first two routes? (c) The time for an individual to be served at a coffee shop is a random variable with an exponential distribution and an average of 3 minutes. Assume that the person goes to the coffee shop every day for 7 days. Calculate the probability that the person is served after 2 minutes on at most two out of those 7 occassions. Clearly define all the random variables and show all your working.
A law professor observed that only 20% of the students who get admitted to the freshmen class usually reached fourth year. Assuming that this is correct, find the probability that among 15 randomly selected first year students, exactly 3 students will reach fourth year?
A large store has a customer service department where customers can go to ask for help with store-related issues. According to store records, approximately 4 of customers who go to the service department ask for help finding an item. Assume the reason each customer goes to the service department is independent from customer to customer. Based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item? 4(1) 1 – (¹)¹ 1-()* 4(4)'()* Q000
During the first 28 days of the new program, the manager determined that 4 % of customers were not satisfied with the results of their call. If the manager checks a random sample of 33 calls, what is the probability that 7 or fewer customers will be dissatisfied with the results of their call?
Events A and B are mutually exclusive. Suppose event A Occurs with probability 0.58 and event B occurs with probability 0.32. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that B occurs but A does not occur. (b) Compute the probability that neither the event A nor the event B occurs.

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