Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate...
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 59 per hour. Using the normal approximation to the Poisson, find the probability that the electric company receives at most 49 service calls per hour. Round your answer to four decimal places, if necessary.
Homework Answers
Mean = 59
Standard deviation = 
= 7.6811
Hence,
P(Atmost 49)
= P(X < 49.5) [Continuity Correction]
= P(z < (49.5 - 59)/7.6811)
= P(z < -1.24)
= 0.1081
Add Answer to:
Service calls arriving at an electric company follow a Poisson
distribution with an average arrival rate...
Patients arriving at the emergency room of a local hospital follow a Poisson distribution with an...
Patients arriving at the emergency room of a local hospital follow a Poisson distribution with an average arrival rate of 26 per half hour. Find the probability that between 32 and 35 patients (inclusive) will arrive at the emergency room within a half hour. Round your answer to four decimal places, if necessary.
Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16...
Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour. What is the probability that in the next hour there will be exactly 8 arrivals?
The number of phone calls arriving at a switchboard can be represented by a Poisson random...
The number of phone calls arriving at a switchboard can be represented by a Poisson random variable. The average number of phone calls per hour is 1.7. (a) Find the probability of getting a total of at least 3 phone calls in the next hour. (b) Find the probability of getting a total of at least 3 phone calls in the next two hours. (c) Find the probability that it is more than 30 minutes until the next call arrives....
A call center receives an average of 13 calls per hour. Assuming the number of calls...
A call center receives an average of 13 calls per hour. Assuming the number of calls received follows the Poisson distribution, determine the probability would receive exactly 15 calls. Round to four decimals.
A customer service center in Gary, Indiana receives, on average, 2.5 telephone calls per minute. If...
A customer service center in Gary, Indiana receives, on average, 2.5 telephone calls per minute. If the distribution of calls is Poisson, what is the probability of receiving more than 4 calls during a particular minute? Do not round intermediate calculations. Round your final answer to four decimals. Format for probabilities: 0.0000
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients...
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients per hour. What is the probability that a randomly chosen arrival to be between 10 and 15 minutes?
A street noodle vendor in Singapore can service an average of 10 customers per hour. Given...
A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. What is the probability of having, at most, 10 customers arriving within 1 hour? a 0.8159 b 0.2834 c 0.1841 d 0.7166 e 0.0993
A company services home air conditioners. It is know that times for service calls follow a...
A company services home air conditioners. It is know that times for service calls follow a normal distribution with a mean of 60 minutes and a standard deviation of 10 minutes. d) Find the shortest range of times that includes 50% of all service calls. e) A random sample of four service calls is taken. what is the probability that exactly two of them take more than 65 minutes? Thank you!
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the...
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all...
Use Poisson Distribution to solve problems 6-7 6. The number of calls received by a car...
Use Poisson Distribution to solve problems 6-7 6. The number of calls received by a car towing service averages 1.25 per hour Use the Poisson distribution to find the probability that in a randomly selected hour the number o calls is 2. Show the result of probability calculations and circle one of the multiple choice answers. (6 points) A) 0.1865 B) 0.2238 C) 0.1586 D) 0.3524
Use Poisson Distribution to solve problems 6-7 6. The number of calls received by a car towing service averages 1.25 per hour Use the Poisson distribution to find the probability that in a randomly selected hour the number o calls is 2. Show the result of probability calculations and circle one of the multiple choice answers. (6 points) A) 0.1865 B) 0.2238 C) 0.1586 D) 0.3524
Most questions answered within 3 hours.
-
What specific indicators can point to lack of progress for
African Americans in American society?
asked 31 minutes ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 47 minutes ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 1 hour ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 2 hours ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 2 hours ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 3 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 3 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 3 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 4 hours ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 4 hours ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 4 hours ago -
4. How many input & output Key Value Pairs are passed into,
and emitted out of...
asked 4 hours ago