imulate 200 samples of size 3 , without replacement, taken from the result of tossing a die. What are the estimates for the probability that the minimum being 1 or 2 or 3 or 4 or 5 or ?
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- We need to simulate 200 samples of size 3, without replacement, from a die roll (1 to 6). - We want to estimate the probability that the minimum value in each sample is 1, 2, 3, 4, or 5. Show more…
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Simulation Use a graphing calculator or statistical software to simulate rolling a six-sided die 100 times, using an integer distribution with numbers one through six. (a) Use the results of the simulation to compute the probability of rolling a one. (b) Repeat the simulation. Compute the probability of rolling a one. (c) Simulate rolling a six-sided die 500 times. Compute the probability of rolling a one. (d) Which simulation resulted in the closest estimate to the probability that would be obtained using the classical method?
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Use the theoretical method to determine the probability of the given outcome or event. Assume that the die is fair. Rolling a single six-sided die and getting a low number (1, 2, 3). The probability rolling a six-sided die and getting a low number (1, 2, 3) is?
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USING R Die outcomes using multiplication You now understand how to simulate the rolling of two six-sided die and how to obtain the sum of the two die values. Using the "expand.grid" function in R you calculated the possible outcomes for rolling various combinations of die such as rolling a six-sided die with a four-sided die. In this activity, you will investigate the outcomes of rolling two four-sided die with one big difference. Instead of adding the two die values to obtain their sum you will multiply the two die values to obtain their product. Roll the dice! Modify your die rolling function to return the results of MULTIPLYING the two die values together instead of adding them. Use your new function to roll two FOUR-SIDED die containing only the values 1, 2, 3, and 4. Replicate 10,000 rolls of the four-sided die and plot the results in a histogram. Document your code and the histogram in an HTML R Markdown document and submit the HTML file for this assignment. Hint: Notice that the sample function returns a vector consisting of multiple values. Research how you may access the individual values of an R vector.
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