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Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of...
Space 1 2 3 4 Weight 0.375 0.25 0.25 0.125 Calculate the theoretical probability of moving...
Space
1
2
3
4
Weight
0.375
0.25
0.25
0.125
Calculate the theoretical probability of moving 4 or less spaces
in 3 spins (i.e. obtaining the sum of the spins to be 4 or less).
Use your probability distribution in table above and note that
spins are independent. (Hint: Recognize that getting a 1
on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result
than getting a 1 on spin 1, a...
Probability Distribution For Single Spin X P(X) 4 0.125 3 0.125 2 0.25 1 0.5b b....
Probability Distribution For Single Spin X P(X) 4 0.125 3 0.125 2 0.25 1 0.5b b. Calculate the theoretical probability of moving 10 or more spaces in 3 spins (i.e. obtaining the sum of the spins to be 10 or greater). Use your probability distribution in part (a) and note that spins are independent. (Hint: Recognize that getting a 1 on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result than getting...
(1 point) Consider the following game of chance based on the spinner below: Each spin costs...
(1 point) Consider the following game of chance based on the spinner below: Each spin costs $2. If the spinner lands on the player wins a dime, if the spinner stops on A the player wins $8 otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form.. Answer: $ 4/11 3/11 1/11 3/11
(1 point) Consider the following game of chance based on the spinner below: Each spin costs...
(1 point) Consider the following game of chance based on the spinner below: Each spin costs $4. If the spinner lands on D the player wins $9, if the spinner stops on B the player wins a penny otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form. Answer: $ 3/10 1/5 1/18 2/5
space 1 2 1 3 1 2 4 3 P(space) 0.125 0.125 0.125 0.125 0.125 0.125...
space 1 2 1 3 1 2 4 3 P(space) 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125 What is the theoretical probability of moving 4 or less spaces in 3 spins if each spin is independent?
2. One the last exam, you analyzed a mini-version of the board game Chutes and Ladders. For your ...
2. One the last exam, you analyzed a mini-version of the board game Chutes and Ladders. For your reference, this information is repeated on the next page. (a) Give the one-step transition matrix P for the Markov chain {Xn,n 2 0]. (This is the same question that was on the exam) (b) What is the expected length (number of spins) of a game? (c) In which square should the player expect to spend the most time? (d) In which square...
For this assignment, your job is to create a version of a carnival game in which...
For this assignment, your job is to create a version of a carnival game in which mechanical dogs race along a track. The racing game is called DogTrack. DogTrack is also the name of the java source file you must submit to complete the assignment. The DogTrack class should be written so that the driver class below, DogDriver, works as intended. A dog track has N discrete positions, 0 through N-1. The value of N is determined interactively in the...
Question Completion Status the co are is playing a game in which she must Use the...
Question Completion Status the co are is playing a game in which she must Use the below Tree Diagram to the town sided to four colections, each ubered 1.210 & The second r e bundy . The ons -Red Blue fellow Sod We Follow Play Game wlod Mue Yollow led We Follow A) The groo v e 2) The probatiay of getting an odd number on the test sanner and a red or yalon on the other The probationem Marie...
(1 point) In each question below, we have given the relative frequencies for the null hypothesis...
(1 point) In each question below, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether the two assumptions for using that test are satisfied. Assumption 1: All expected frequencies are 1 or greater Assumption 2: At most 20 percent of the expected frequencies are less than 5 Sample size: n = 100, Relative frequencies: 0.65, 0.30, 0.05 A. Both assumptions are satisfied B. Only assumption...
(1 pt) In each question below, we have given the relative frequencies for the null hypothesis...
(1 pt) In each question below, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether the two assumptions for using that test are satisfied Assumption 1: All expected frequencies are 1 or greater Assumption 2: At most 20 percent of the expected frequencies are less than 5 Sample size: n 100, Relative frequencies: 0.65, 0.30, 0.05 A. Only assumption 1 is satisfied B. Both assumptions...
Space
1
2
3
4
Weight
0.375
0.25
0.25
0.125
Calculate the theoretical probability of moving 4 or less spaces
in 3 spins (i.e. obtaining the sum of the spins to be 4 or less).
Use your probability distribution in table above and note that
spins are independent. (Hint: Recognize that getting a 1
on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result
than getting a 1 on spin 1, a...
(1 point) Consider the following game of chance based on the spinner below: Each spin costs $2. If the spinner lands on the player wins a dime, if the spinner stops on A the player wins $8 otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form.. Answer: $ 4/11 3/11 1/11 3/11
(1 point) Consider the following game of chance based on the spinner below: Each spin costs $4. If the spinner lands on D the player wins $9, if the spinner stops on B the player wins a penny otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form. Answer: $ 3/10 1/5 1/18 2/5
2. One the last exam, you analyzed a mini-version of the board game Chutes and Ladders. For your reference, this information is repeated on the next page. (a) Give the one-step transition matrix P for the Markov chain {Xn,n 2 0]. (This is the same question that was on the exam) (b) What is the expected length (number of spins) of a game? (c) In which square should the player expect to spend the most time? (d) In which square...
Question Completion Status the co are is playing a game in which she must Use the below Tree Diagram to the town sided to four colections, each ubered 1.210 & The second r e bundy . The ons -Red Blue fellow Sod We Follow Play Game wlod Mue Yollow led We Follow A) The groo v e 2) The probatiay of getting an odd number on the test sanner and a red or yalon on the other The probationem Marie...
(1 point) In each question below, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether the two assumptions for using that test are satisfied. Assumption 1: All expected frequencies are 1 or greater Assumption 2: At most 20 percent of the expected frequencies are less than 5 Sample size: n = 100, Relative frequencies: 0.65, 0.30, 0.05 A. Both assumptions are satisfied B. Only assumption...
(1 pt) In each question below, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether the two assumptions for using that test are satisfied Assumption 1: All expected frequencies are 1 or greater Assumption 2: At most 20 percent of the expected frequencies are less than 5 Sample size: n 100, Relative frequencies: 0.65, 0.30, 0.05 A. Only assumption 1 is satisfied B. Both assumptions...
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