Marty's Barber Shop has one barber. Customers have an arrival rate of 2.4 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals andexponential service times model to answer the following questions. (Round your answers to four decimal places.)(a) What is the probability that no units are in the system?(b) What is the probability that one customer is receiving a haircut and no one is waiting?(c) What is the probability that one customer is receiving a haircut and one customer is waiting?(d) What is the probability that one customer is receiving a haircut and two customers are waiting?(e) What is the probability that more than two customers are waiting?(f) What is the average time (in hours) a customer waits for service?h

AS PER GUIDELINES I HAVE CALCULATED FIRST 3 SUBPARTS PLZ REPOST FOR REMAINING WITH NOTE I NEED THIS…

Answered: (a) What is the probability that no…

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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It was found that 70% of cars in a city are sedan and 65% of cars are white in colour. The probability that a car is a sedan, given that it is white in colour, is 60%. (a) What is the probability in percentage that a car is white in colour given that it is a sedan? % Write all answers to 2 decimal places (b) What is the probability in percentage that it is not a sedan nor white in colour? % Check
Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about 10% of the time, while the non salty outgoing tides occurs twice per day. You take your dog for a walk down by the river at random during the weekend and notice that he'll drink from the river 30% of the time when the salt is sufficiently low. Question Given that the overall probability of rain remains 10 % what is the probability of rain during a non tide period?
Task: A company uses a 'selling aptitude test in the selection of salesmen. Past experience has shown that only 70% of all persons applying for a sales position achieved a classification "dissatisfactory" in actual selling, whereas the remainder were classified as "satisfactory", 85% had scored a passing grade on the aptitude test. Only 25% of those classified unsatisfactory, had passed the test on the basis of this information. What is the probability that a candidate would be a satisfactory salesman given that he passed the aptitude test?
In a family with three children what is the probability that the oldest two children are girls assuming that the probability of boy being born is same as that of girl being born
(a) The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the P&S exam in a class of 7 students.
Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =
Births If the sex of a child is independent of all otherbirths, is the probability of a woman giving birth to agirl after having four boys greater than it was on her firstbirth? Explain.
a-c
2 questions, first one is (a) and the second one is (b)
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(a) What is the probability that no units are in the system? (b) What is the probability that one customer is receiving a haircut and no one is waiting? (c) What is the probability that one customer is receiving a haircut and one customer is waiting?