1. Present the probability distribution for the sum of two six-sided dice (i.e., list the possible values of the random variable, X and each value’s corresponding probability). Use the x-axis above and rules of theoretical probability to help you calculate your probabilities. (Hint: there are 36 outcomes.) Present the probabilities as fractions (simplified or not simplified) or decimals (rounded to four decimal places) in a table.

Question

1. Present the probability distribution for the sum of two six-sided dice (i.e., list the possible values of the random variable, X and each value’s corresponding probability). Use the x-axis above and rules of theoretical probability to help you calculate your probabilities. (Hint: there are 36 outcomes.) Present the probabilities as fractions (simplified or not simplified) or decimals (rounded to four decimal places) in a table.

2. Now calculate the theoretical probability that the player lands on “Reading Railroad” on their first turn. Using the probability distribution built in number 1, state this probability as a decimal rounded to four decimal places in a sentence.

3. Calculate the theoretical probability that the player will move no farther than “Reading Railroad” on the first turn. Using the probability distribution built in number 1, state this probability as a decimal rounded to four decimal places in a sentence.

4. Calculate the theoretical probability that the player moves farther than “Reading Railroad” on their first turn. Using the probability distribution built in number 1 state this probability as a decimal rounded to four decimal places in a sentence.

Options
Rolling 2 dice with 6 sides
1 run
5 runs
1000 runs
Reset
Analyze
Info
Runs
Event
Count
Total
Proportion
Sum of 2 roll(>=
Qutcomes
Frequency
6+
Convergence
Box 2: Use this box
to enter specific
values in part (b)-(d).
Box 1: Use the down
arrow to change the
equality/inequality sign
from >=, >, =, <=, or <
5.
You only need to
adjust the information
in Boxes 1 and 2 to
answer parts (b)-(d).
1-
YOUR RESULT WILL APPEAR HERE
Sum of 2 rolls
2,
II
Expand
Transcribed Image Text

Options Rolling 2 dice with 6 sides 1 run 5 runs 1000 runs Reset Analyze Info Runs Event Count Total Proportion Sum of 2 roll(>= Qutcomes Frequency 6+ Convergence Box 2: Use this box to enter specific values in part (b)-(d). Box 1: Use the down arrow to change the equality/inequality sign from >=, >, =, <=, or < 5. You only need to adjust the information in Boxes 1 and 2 to answer parts (b)-(d). 1- YOUR RESULT WILL APPEAR HERE Sum of 2 rolls 2, II

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