10−5 Probabilit × A ALEKS-Adrie! ×gi/X/Isl.exe/10_U-IgNsIkr7j8P3JH-IlijpunLFYJhEDJIOhE1xJTn4DrqI3pMXuDJuZ9bA22...- (a): Your answer is ncomect.- (b): Your answer is incorrect.The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 25 trials and got the following results\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\hline Oute & ∣0∣ & 1 & 2 & 3| & & & & & \\\hline & 3 & 2 & 1 & 2 & 35 & & 3/2 & 22 & 2 \\\hline\end{tabular}Fill in the table below. Round your answers to the nearest thousandth.(a) Assuming that the machine is fair, compute the theoretical probability of getting an odd number.556(b) From these results, compute the experimental probability of getting an odd number..12(c) Assuming that the machine is fair, choose the statement below that is true:With a large number of trials, there must be no difference between the experimental and theoretical probabilities.With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.Try againRestheckC. 2024 McGraw HilliC. All Rights Reservedhp
Q. 10−5 Probabilit × A ALEKS-Adrie! ×gi/X/Isl.exe/10_U-IgNsIkr7j8P3JH-IlijpunLFYJhEDJIOhE1xJTn4DrqI3pMXuDJuZ9bA22...- (a): Your answer is ncomect.- (b): Your answer is incorrect.The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 25 trials and got the following results\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\hline Oute & ∣0∣ & 1 & 2 & 3| & & & & & \\\hline & 3 & 2 & 1 & 2 & 35 & & 3/2 & 22 & 2 \\\hline\end{tabular}Fill in the table below. Round your answers to the nearest thousandth.(a) Assuming that the machine is fair, compute the theoretical probability of getting an odd number.556(b) From these results, compute the experimental probability of getting an odd number..12(c) Assuming that the machine is fair, choose the statement below that is true:With a large number of trials, there must be no difference between the experimental and theoretical probabilities.With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.Try againRestheckC. 2024 McGraw HilliC. All Rights Reservedhp
Identify Odd Numbers: Identify the total number of odd numbers on the balls, which are 1, 3, 5, 7, and 9.
Calculate Theoretical Probability: Calculate the theoretical probability of getting an odd number. Since there are 5 odd numbers out of 10 possible numbers (0−9), the probability is 105=0.5.
Count Occurrences in Experimental Results: Count the occurrences of odd numbers in the experimental results: 1 occurred 2 times, 3 occurred 2 times, 5 occurred 3 times, 7 occurred 2 times, and 9 occurred 2 times. Total occurrences of odd numbers = 20.
Calculate Experimental Probability: Calculate the experimental probability of getting an odd number. There were 25 trials, and odd numbers appeared 11 times. So, the experimental probability is 2511=0.44.
Compare Theoretical and Experimental Probabilities: Compare the theoretical and experimental probabilities. The theoretical probability is 0.5, and the experimental probability is 0.44.
Choose Correct Statement: Choose the correct statement regarding the comparison of probabilities. With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.
More problems from Write two-variable inequalities: word problems