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In a recent year, the rate of U.S. home ownership was 65.9%. Choose a random sample of 120 households across the united state. What is the probability that 65 to 85 ( inclusive) of them live in homes that they own?

          In a recent year, the rate of U.S. home ownership was 65.9%. Choose a random sample of 120 households across the united state. What is the probability that 65 to 85 ( inclusive) of them live in homes that they own?
        

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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In a recent year, the rate of U.S. home ownership was 65.9%. Choose a random sample of 120 households across the united state. What is the probability that 65 to 85 ( inclusive) of them live in homes that they own?
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Transcript

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00:02 Solution of this question is p 65 is less than equal to x is less than equal to 85 is equal to 0 .8906 p equal to 65 .9 .9 .006 p equal to 65 .9 divide by 100 is equal to 0 .659 and is equal to 120 x1 is equal to 65 and x to equal to 85 by applying binomial distribution p x and p equal to n c x multiply p multiply 1 minus p raised to power n minus x so p 65 is less than equal to x is less than equal to 85 is equal to p x is greater than equal to 65 plus p x is greater than 85 this is minus p x is greater than 85 this is minus p x is greater than 85.
03:05 So p 65 is less than equal to x is less than equal to 85 is equal to 0 .99706 minus 0 .1070...
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