You are playing rock, paper, scissors (RPS) with a friend. Because you are good at predicting...

You are playing rock, paper, scissors (RPS) with a friend. Because you are good at predicting your friend’s strategy, there is a 60% chance each time that you play her, that you win. You play 7 games of rock, paper scissors with your friend and would like to know how many of them you win. Use this information to answer the following questions.

1. What is the random variable in this example?
a. X = number of times your friend wins at RPS
b. X = wins
c.X = times you win
d. X = number of times you win at RPS

2. What kind of random variable is X?
a. Discrete
b. Continuous - unbounded
c. Continuous - bounded

3. For this problem, what would constitute a success and what is the probability that a success occurs?
a. Your friend winds a game of RPS, 60%
b. Your friend winds a game of RPS, 40%
c. You win a game of RPS, 40%
d. You win a game of RPS, 60%

4. What is the distribution of the random variable?
a. X ~ negbin(7, 0.6)
b. X ~ binomial
c. X ~ bin(7, 0.6)
d. X ~ bin(3, 0.6)

5. What is the probability that you win exactly three of the seven games played? (To four decimal places)

6. What is the probability that you win five or fewer games? (To four decimal places)

Solutions

Expert Solution

orchestra answered 1 year ago

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