I don't know why it follows the binomial distribution. (6.25). Suppose that 106 people arrive at a service station at times thatare independent random variables, each of which is uniformlydistributed over (0, 106). Let N denote the number that arrive in thefirst hour. Find an approximation for P{N = i}.N~ Bin (10⁰, 100)Since n is large enough. p is small and up is moderadle,N~ Pois (A) with parameter X = np = 10² x 100 = 1<₁ P (N=₂) =e'll}ż!ety!

Given ; number of people arrive n=106 at service station each of which is uniformly distributed over…

Answered: don't know why it follows the binomial…

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 following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 25% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.)(a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?
If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?
17 percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ=
According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?
79% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. 1.mean of the binomial distribution= 2.varience of the binomial distribution= 3.standard deviation of the binomial deviation=
The probability distribution itself is assumed to be a beta distribution. True or false?

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