6. The odds of a given ticket winning the Powerball lottery is p = 1/292,201,338. When thejackpot gets large, the number of tickets bought can grow quite large: in 2016, the number oftickets sold reached n = 371,000,000 one week when the jackpot had grown to over a billiondollars. The number of winners can be modeled as a Poisson random variable with parameter1 = np. With this many tickets sold, what is the probability that there are no winners? Onewinner? Two winners?

The mean value λ is computed as follows:

Answered: 6. The odds of a given ticket winning…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 6. 1, 2. Please solve it step by step.
Roll two fair dice. Use the Poisson approximation to find the probability that you will rollat least one double (meaning both dice land on the same value) in 24 trials. How does this compare tothe exact value? Answer as if explaining to someone.
q3 imagine a hypothetical future in which we have geolocation data on all people in a city and complete access to their medical records. For this example, the total number of hospital visits in the city in the past year was 104,000 and the city is 20,000 hectares in size. Assume that the individuals who go to the hospital are randomly distributed around the city (i.e., the Poisson distribution can be used for the questions below). (provide all values to the nearest 0.0001 and be cautious about rounding error) If we randomly choose an hectare in the city, what is the probability that more than three people in that region went to the hospital in the past year? If we randomly chose two hectares in the city, what is the probability that exactly five people went to the hospital in each of the two regions (i.e., ten total) in the past year?
An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.05Pr[1]=0.05, Pr[2]=0.25Pr[2]=0.25, Pr[3]=0.1Pr[3]=0.1, Pr[4]=0.15Pr[4]=0.15, Pr[5]=0.2Pr[5]=0.2, and Pr[6]=0.25Pr[6]=0.25. On the first roll, you record if the number is Small (1,2) or Large (3,4,5,6). If the first number is Small, then on the second roll you record if the number is a 1 or not. If the first number is Large, on the second roll you record whether the number is Small or not. So, some typical outcomes would be S1 (small number rolled, then 1) or LL (large number rolled, then another large number). Draw a tree diagram and use it to answer the following questions. (1) What is Pr[S1]? (2) What is Pr[LL]? (3) What is Pr[(not1)onsecondroll|Sonfirstroll]? (4) What is Pr[S on second roll|L on first roll]?
Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is 1 star per 16 cubic light years. (a) What is the probability of 3 or more stars in 16 cubic light years? Probability =i 0.080 . [Round your answer to three decimal places (e.g. 98.765).] (b) How many cubic light years of space must be studied so that the probability of 1 or more stars exceeds 0.94? cubic light years of space. [Round your answer to the nearest integer.]
*Question Six* The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £2. What is the probability that the expenditure of the first customer exceeds the expenditure of the second customer by at least 20 £?
ANSWER THIS ASAP PLEASE. HELP ME LEARN. The exit gate has an outflow rate of 20 cars per minute which can be modeled as a Poisson Random Process. What is the probability of the 9th car exiting within 20 seconds?
A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
Please answer step d.

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