Question

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a bal with one of the digits 0through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 40 trials and got the following resultsOutcome 0 1 2 3 4 5 6 7 8 9Number of Trals 73 5 2 7 3 2 1 46Fill in the table below. Round your answers to the nearest thousandth(0) Assuming that the machine star, compute the theoretical probity of getting 0.(b) From these resurs, compute the retrimental probability of putting .(C) Assuming that the machine is fair, choose the statement below that is trueThe experimental and theoretical probabies must always be equalOAs the number of trials increases, we expect the experimental and theoreticalprobabilities to become closer, though they might not be equalAs the number of trials increases, we expect the experimental and theoreticalprobabilities to become farther apart

Answer 1

From the given data

Since there are 10 possible outcomes

Then the theoretical probability of getting a 0 is

`(1)/(10)`

From the given experiment

There are 40 total possible outcomes.

The possible outcome of 0 is 7

Therefore, the experimental probability of getting 0 is

`(7)/(40)`