Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing ofnumbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings.In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 142 drawingswere made. For the purpose of this exercise, we grouped the numbers in to five categories: 1-7, 8-14, and so on. If the lottery isfair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test thehypothesis that each of the categories is equally likely. Use the 0.10 level of significance and the P-value method with the TI-84Plus calculator.Category 1-7 8-14 15-21 22-28 29-35Observed 3720212539Send data to ExcelPart: 0 / 4Part 1 of 4(a) State the null and alternate hypotheses.Ho P1 P2 P3 P4 P5 =H₁: Some or all of the actual probabilities (Choose one) from those specified by Ho

The given data is as follows: CategoryObserved1-7378-142015-212122-282529-3539

Answered: Is the lottery fair? Power ball is a…

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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Dr. A. Ventura is interested in determining what kinds and how many pets people own in Bakersfield. He stands outside Petco and asks people what kind of pet they own. This is the result of his survey: dog=1; cat=2; bird=3; reptile=4; fish=5; other=6 1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,4,4,2,2,1,1,1,5,4,3,4,1,1,1,2,2,6,1,1,2,2,1,2,1,2,6,3,4,5
At a birthday party 47 guests are in attendance and 6 of them are randomly chosen to each receive a $25 gift card. How many ways can the cards be awarded?
Dr. Wagner is interested in conducting a 2 x 2 x 3 within-group factorial design, with 20 participants in each cell. How many participants does she need overall? a. 40 b. 240 c. 20 d. 80
In order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups is
This exercise involves combinations. In a raffle with 11 entries, in how many ways can five winners be selected? ways
Step 1: Calculate the size of the sample space for flipping a coin ten times using the Counting Principle. Into cell B2, type an equal sign and then the calculation for finding this sample size. When you push enter on your key board, the final answer should appear in cell B2. For example, if I wanted to use GoogleSheets to calculate the area of a rectangle that has sides of 3 inches and 5 inches, I'd type =3*5 and the result in the cell would be 15. But when I click on that cell and look in the function bar, I would see how I got that answer. For example, if I wanted to use GoogleSheets to find 4343then I would type =4^3 To calculate, you always need to start with an = Step 2: Repeated permutations Pick an event that interests you based on the experiment of flipping a coin 10 times: i.e. Flip five heads and 5 tails, etc. (Cannot pick all heads or all tails). Type your event into Cell B5 Use the formula for permutations with repeated outcomes to find the number of ways your…
Tyler was given the following counting problem to solve: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one queen and at least one spade. He breaks this into two cases. In the first case, he looks at hands which contain the queen of spades QA. There is 1 way of choosing the Queen of Spades, and 51C4 ways of choosing the other four cards. In the second case, he will start by choosing a non-spade queen (3 ways) and a non-queen spade (12 ways). There are 50 cards remaining, so he also throws away the Queen of Spades so that he doesn't overlap case 1. This gives 49C3 ways of choosing the last three cards. He concludes that the answer is 51C4 + (3 · 12 · 49C3). His answer is incorrect. Explain why, and give the correct answer.
At a movie festival, a team of judges is to pick the first, second, and third place winners from the 57 films entered. How many possibilities are there? There are possibilities for picking the first, second, and third place winners. (Type a whole number.)
Tyler was given the followng counting problem to solve: " You are dealt five cards from a standard deck 52 cards. How many of these hands have at least one queen and at least one spade." He breaks this into two cases. In the first case, he looks at hands which contain the queen of spades. There is 1 way of choosing the Queen of Spades, and 51C4 ways of choosing the other four cards. In the second case, he will start by choosing a non-spade queen ( 3 ways) and a non-queen spade (12 ways). There are 50 cards remaning, so he also throws away the Queen of Spades so that he doesn't overlap case 1. This gives 49C3 ways of choosing the last three cards. He concludes that the answer is 51C4 + (3 x 12 x 49C3). His answer is wrong, explain why and give the correct answer.
a) select one Drama Comedy News Documentary Sports Other
the powerball lottery is played twice each week in 31 states, the district of columbia and the virgin islands. To play powerball, a participant must purchase a $2 ticket, selest five numbers from the digits 1 through 59, and then select a powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out of a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the powerball jackpot, a participant's numbers must match the numbers on the 5 white balls in any order and must also match the number on the red powerball. The numbers 5-16-22-23-29 with a powerball number 6 provided the record jackpot of $580 million a) How many powerball lottery outcomes are possible?( hint Consider this a two-step exsperiment. Select the 5 white ball numbers and then selectthe 1 red Powerball number) b) What is the probability that a $2 lottery ticket wins the powerball…

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