A certain restaurant in a city hasan average of 30 customers perhour. The crews cannotaccommodate the customerswithout reservation if there aremore than 40 customers in agiven hour.(a) What is the probability that in agiven hour the crews can no longeraccommodate the incomingcustomers?(b) What is the probability that morethan 45 customers arrive during a2-hour shift of restaurant crews?

A restaurant has an average of 30 customers in an hour , λ = 30 Let X denotes the number of…

Answered: A certain restaurant in a city has an…

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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In the sport of basketball, a player will sometimes get the opportunity to shoot two free throws without being affected by any other players in the game. Assume that, for one player, these two free throws are independent of each other. If this player makes free throws 80% of the time, what is the probability that this player will make neither free throw in the opportunity?
A poll reported that 70% of adults were satisfied with the job the major airlines where doing. Suppose 12 adults are selected at random and the number who are satisfied is recorded. (a) Find the probability that exactly 6 are satisfied with the airlines. (b) Find the probability that fewer than 10 are satisfied with the airlines. (c) Find the probability that 6 or more are satisfied with the airlines. (d) Find the probability that between 4 and 7, inclusive, are satisfied with the airlines. (a) The probability that exactly 6 adults are satisfied with the airlines is. (Round to four decimal places as needed.)
Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of male piglets). If 5 piglets were born, what is the probability that 3 of them are male?
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?
Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?
American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
The average number of cargo ships arriving at a port is known to be 5 per day. The port facility can accommodate at most 8 ships per day. What is the probability that on any given day ships would be turned away and asked to wait in an adjacent harbor?
On average, 5 traffic accidents per month occur at a certain intersection. What is the probability that in any given mohth at this intersection exactly 4 accidents will occur? no accident will occur?
Sneakers are no longer just for the young. In fact, most adults own multiple pairs of sneakers. Table gives the fraction of US adults 20 years of age and older who own five or more pairs of wearable sneakers, along with the fraction of the US adult population 20 years or older in each of five age groups. (1) Find the probability that the person owned at least five pairs of wearable sneakers. (2) Find the probability that the person selected was 65 years of age or older, given that the person owned at least five pairs of wearable sneakers. Groups and Ages G1 (20-24) G2 (25-34) G3 (35-49) G4 (50-64) G5 (≥65) Fraction with ≥ 5 pairs 0.26 0.2 0.13 0.18 0.14 Fraction of US Adult 20 and Older 0.09 0.18 0.3 0.25 0.18
Delta Airlines' flights from Boston to Dallas are on time 60 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded.1.The probability that at least 9 flights are on time is =2.The probability that at most 8 flights are on time is =3.The probability that exactly 12 flights are on time is =
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule

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