Music downloaded from a website is known to follow a Poisson process with an average rate of 30 songs per minute. a) What will be the probability that at least 160 songs will be downloaded in the next 5 minutes? b) What is the probability that it will have to wait more than 3 seconds before the next song is downloaded? c) What will be the probability that you will have to wait more than 3 seconds before the 6 song is downloaded? d) How much is the interquartile range worth in this case (that is, Q3-Q1, or 75th Percentile - 25th Percentile)?   i u know it like in the excel code better [Answ a) 0.21735.   b) 0.22313      c) 0.004455          d) 0.1067

Q: In Exercises 9–16, use the Poisson distribution to find the indicated probabilities.   Births In…

A: Poisson distribution:Denote x as number of births per day. The variable x follows Poisson…

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

A: Givenon average of 3 failures for every twenty weeksfor one week =320=0.15λ=0.15 per…

Q: The grade appeal process at a university requires that a jury be structured by selecting six ind…

A: Given,no.of students=8no.of faculty=11total no.of people=19

Q: assume the number of commuters using the QR code payment service at each MTR station follows a…

A: Given information: μ=3 i)  x = 10 By applying poisons distribution:- P(x,μ)=e-μ(μx)x!

Q: What is the probability that one of the eggs selected at random was at least 19.75 mm long but less…

A:

Q: According to the 2013 March Supplement Survey, 22.3% of U.S. households are in the Midwest. In…

A: Given the 2013 March Supplement Survey, 22.3% of U.S. households are in the Midwest. In addition,…

Q: In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in…

A: Define the random variable x as the number of adults who use their smartphone during meetings or…

Q: 4. Students arrive at a tutoring center to a Poisson process with a rate of 10 per hour. a) What is…

A:

Q: In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in…

A: Binomial distribution:The probability mass function for binomial distribution is,

Q: Suppose the average number of customers going through a drive-thru in a one hour period is 30 and…

A: The average number of customers going through a drive-thru in a one hour period is 30.

Q: 5 goals are scored in a 60-min hockey game, and follow a Poisson process. What is the probability…

A: The poisson distribution is used to estimate the probability of number of events occurs in an…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 50 and 60…

A:

Q: A person who took the survey is selected at random. 1. What is the probability that the person has a…

A: The given data can be described as   $40000 or less more than $40000 Total Diploma 44 101 145…

Q: On average, 5.5 shoplifting incidents occur per week at an electronics store.  What is the…

A: Poisson Distribution :  A Poisson distribution is a discrete probability distribution that applies…

Q: Assume the number of commuters using the QR code payment service at each MTR station follows a…

A: Given, λ=3 Let X denote the no. of commuters who use the QR code payment service in an hour.…

Q: In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and…

A: Computer randomly generates the phone numbers for the survey and there is 1 in 10 chance that the…

Q: 4. Students arrive at a tutoring center to a Poisson process with a rate of 10 per hour. (a) What is…

A:

Q: When a committee of size 2 is chosen from 5 persons, determine the probability distribution of the…

A: The total number of people is 5. The size of the committee is 2. Let P1,P2,P3,P4,P5 denote the 5…

Q: . Assume that when adults with SmartPhones are randomly selected, 56% use them in meetings or…

A: Here it is given that 56% of adults use smartphone in meetings or classes. A sample of 7 adults is…

Q: 2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean…

A: GivenMean of 2.3 per yearfor 1 month=2.312 λ=2.312 for 1 monthLet "x" be the no. of sightings…

Q: Assume the number of births in a local hospital follows a Poisson distribution and averages 2.8 per…

A: The probability that no births will occur today is calculated as follows:

Q: Four coins are thrown 72 times. Determine the probability that three Tails will be rolled in less…

A: Solution

Q: 1.) Compute the probability of purchasing 10 cereal boxes to receive 4 prizes? 2.) Compute the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In 2021, 500 teachers in GCPS were surveyed. 230 teachers surveyed were Science teachers, 200…

A: Given: N=500 N(S)= 230 N(M)=200  Half of the teachers teaching Math also teach a science subject.…

Q: Grab taxis arrived at manila international airport, according to a Poisson process at the rate of 8…

A:

Q: Assume that the number of bikes arriving at the campus follows a Poisson process with a rate of 200…

A: Fourth part solution-   Formula poisson distribution is e-u ux/x! U= 200*0.05=10 x=10

Q: It has been recorded that 40% of stores in a region successfully reach the annual sales record.…

A:

Q: The environment committee needs to seat 10 of its members (5 females and-5 males) at a round table.…

A: HERE GIVEN  TOTAL NO OF MEMBERS=10 NO OF MALES= 5 NO OF FEMALES=5

Q: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the…

A: Obtain the probability that at least one will have a defect.   The probability that at least one…

Q: Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red; two marbles are picked at…

A: Answer - Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red.                Two…

Q: A highway camera films cars daily as they pass by. Over a two-month period, the camera shows that…

A:

Q: A company invests on selling computer units worth Php 32,000.00. The probability of maintaining this…

A:

Q: A committee of size 5 is to be selected at random from 3 women and 5 men. Find the probability…

A:

Q: The percentages of weapons used in murders in a certain year are described in the pie chart.…

A: Ans A and B:

Q: Cars arrive at a toll according to a Poisson process with mean 15 cars per hour. If the attendant…

A: Given that on average 15 cars arrive at a toll per hour. 1 hour= 60 minute So in 1 minute the…

Q: A process yields 10% defective items. If 100 items are randomly selected from the process, what is…

A:

Q: Grab taxis arrived at manila international airport, according to a Poisson process at the rate of 10…

A: Givenλ=10 per hourx~Poisson(λ=10)P(X=x)=e-λ×λxx! ; x≥0

Q: ) What is the probability that there are no calls within a 30-minute interval?  (b) What is the…

A: HERE AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REAMAINING here given, The number of…

Q: According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the probability distribution for the random samples of committees of size 4 chosen from 8…

A: Given: Total students = 8 Random samples of size 4

Q: selected

A: It is given that - n = total number of observations = 4 p = probability of success = 16.5100=0.165…

Q: The number of hits to a website follows a Poisson process. Hits occur at the rate of 1.1 per minute…

A: A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Q: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8) According to police sources, a car with a certain protection system will be recovered 90% of the…

A: From the given information certain protection system will be recorded 90% of the time.

Q: A short-term insurance company receives three motor vehicle claims, on average, per day. Assume that…

A: Given information- We have given the problem of Poisson distribution. Mean, λ = 3 X = Number of…

Q: In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in…

A: According to the provided information,

Q: Suppose a household has nine members (five of whom work) and an annual income of $234,567. What is…

A: Given: Consider the provided regression model for the number of trips generated during a peak hour…

Q: List all of the possible sample of size of 2. Compute the mean of each sample Identify the…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given population, {2,4,7} sample of size n…

Q: A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 40 states.…

A: Given that, A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 40…