Research shows that 70% of US citizens have been to Disney World.  Suppose we are constructing a sampling distribution for the proportion of US citizens who have been to Disney World, using all possible samples of size 300.  (a) What is the mean of this distribution? Round your answer to 2 decimal places. (b) What is the value of the proportion of failures in this distribution? Round your answer to 2 decimal places.  (c) What is the standard deviation of this distribution? Round your answer to 3 decimal places.

MATLAB: An Introduction with Applications
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  1. Research shows that 70% of US citizens have been to Disney World. 

    Suppose we are constructing a sampling distribution for the proportion of US citizens who have been to Disney World, using all possible samples of size 300. 

    (a) What is the mean of this distribution? Round your answer to 2 decimal places.

    (b) What is the value of the proportion of failures in this distribution? Round your answer to 2 decimal places. 

    (c) What is the standard deviation of this distribution? Round your answer to 3 decimal places. 

    (d) What is the expected number of successes?  

    (e) What is the expected number of failures?  

    (f) What is the probability of selecting a sample with the proportion of citizens who have visited Disney World being 0.67 or lower? Round your answer to three decimals.

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