Solution
using Poisson distribution
Average = λ = 4.3
P(X=x)=(e−λ⋅λx)/(x!)
P(X>2)=1−P(X≤2) = 1-(P(0)+P(1)+P(2))
= 1-(0.013568559012201+0.058344803752464 +0.1254413280678) = 1-0.19735469083246 = 0.80264530916754
Answer : 0.8026
Assume that the number of pieces of junk mail per day that a person receives in...
Suppose the number of spam calls a person receives per day can be assumed to follow a Poisson distribution with parameter λ=2. What is the probability that Jacob will receive at least two spam calls in a day? Show your steps in calculating your answer
12) [30 pts] Poisson statistics assume that the number of pieces of mail delivered to Dr. Scarpulla's home each day follows Poisson statistics. Last year, his home tallied 1,800 pieces of mail in 365 days. Make an excel table predicting the number of days that 0, 1, 2...10 pieces of mail were delivered last year. 1) calculate the Poisson distribution for integer values 0 through 10 for the average number of pieces of mail per day. 2) make sure if...
1. Assume the number of births in a local hospital follows a Poisson distribution and averages 2.6 per day. (a) What is the probability that no births will occur today? (b) What is the probability that less than four births will occur today? (c) What is the probability that no more than one birth will occur in two days? 2. A particular intersection in Delaware is equipped with surveillance camera. The number of traffic tickets issued to drivers passing through...
Q1) The average number of selling coffee per day is 3.7 and follows the Poisson distribution. Calculate the following : The standard deviation of this distribution : ? The probability of exactly 5 coffee will be sold tomorrow : ? The mean for this distribution : ? ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ please solve all thease short Thank you
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 call center receives an average of 18 calls per hour. Assuming the number of calls received follows the Poisson distribution, determine the probability would receive exactly 11 calls. Make sure that your answer is between 0 and 1.
Assume the number of births in a local hospital follows a Poisson distribution and averages 2.6 per day. Complete parts a through c. a. What is the probability that no births will occur today? The probability that no births will occur today is 0.0743 . (Round to four decimal places as needed.) b. What is the probability that fewer than five births will occur today? 1. The probability that fewer than five births will occur today is (Round to four...
The number of claims for lost luggage in a small city airport averages 7 per day. Assuming the Poisson distribution, what is the probability that there will be 5 or fewer claims on any given day?
The number of claims for lost luggage in a small city airport averages 8 per day. Assuming the Poisson distribution, what is the probability that there will be 5 or fewer claims on any given day?
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days. What is the probability that it will rain two or more days next month?