A local club plans to invest $10,000 to host a baseball game. They expect to sell tickets worth $15,000. But if it rains on the day of game, they won't sell any tickets and the club will lose all the money invested. The weather forecast for the day of game is 20% possibility of rain. a) Make a probability distribution table modelling the club's profits. b) Use R to compute the expected value of their profits. Use R to compute the variance and standard deviation of their profits. d) Using this information, is this investment a good idea? Explain.

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please can you use R studio and show me how the commands are being used
A local club plans to invest $10,000 to host a baseball game. They expect to sell tickets worth
$15,000. But if it rains on the day of game, they won't sell any tickets and the club will lose all
the money invested. The weather forecast for the day of game is 20% possibility of rain.
a)
Make a probability distribution table modelling the club's profits.
b)
Use R to compute the expected value of their profits.
Use R to compute the variance and standard deviation of their profits.
d)
Using this information, is this investment a good idea? Explain.
Transcribed Image Text:A local club plans to invest $10,000 to host a baseball game. They expect to sell tickets worth $15,000. But if it rains on the day of game, they won't sell any tickets and the club will lose all the money invested. The weather forecast for the day of game is 20% possibility of rain. a) Make a probability distribution table modelling the club's profits. b) Use R to compute the expected value of their profits. Use R to compute the variance and standard deviation of their profits. d) Using this information, is this investment a good idea? Explain.
Expert Solution
Step 1: Part a) and b)

a)

Let X be the random variable which denotes the profit.

Probability Profit
0.8 $5000
0.2 $-10000

b) Follow the command as given below ( in R)

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