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In: Statistics and Probability

Tanya is playing PokemonGo, and searching for a Snorlax. The game is programmed such that pokemon...

Tanya is playing PokemonGo, and searching for a Snorlax. The game is programmed such that pokemon are generated randomly, and there is a 7% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 473 random pokemon. Consider the proportion in her sample that will be Snorlaxes. As we have learned, the sample proportion is a random quantity.

What type of random variable can we use to approximate the sample proportion? Type the name of the distribution using all capital letters.

What is the mean of the sample proportion? Input your answer as a decimal, not a percent.

What is the standard deviation of the sample proportion? Input your answer as a decimal, not a percent.

What is the approximate probability that more than 6% of her sample will be Snorlaxes? Input your answer as a decimal, not a percent.

Solutions

Expert Solution

SOLUTION

From given data,

Given that ,

7% that is p = 0.07

n = 473

Let

is standard normal variable

What type of random variable can we use to approximate the sample proportion? Type the name of the distribution using all capital letters.

NORMAL is use to approximate the sample proportion

What is the mean of the sample proportion? Input your answer as a decimal, not a percent.

The mean of the sample proportion is

= = 0.07

What is the standard deviation of the sample proportion? Input your answer as a decimal, not a percent.

What is the approximate probability that more than 6% of her sample will be Snorlaxes? Input your answer as a decimal, not a percent.

orchestra answered 2 years ago

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